ANAHEIM, Calif. – When Marco Scutaro saw a change-up coming from one of the hardest-throwing relievers in baseball, Boston’s scrappy shortstop knew exactly what to do with that stroke of good luck.

His grand slam sent the Red Sox home from the West Coast with ample reason to believe they’re still in the postseason chase.

Scutaro hit his tiebreaking shot in the eighth inning off Fernando Rodney, and the Red Sox wrapped up their 10-game trip with a 7-3 win over the slumping Los Angeles Angels on Wednesday, sweeping the three-game series.

Scutaro had three hits and drew two walks against the Angels’ bullpen, capping his day with the second grand slam of his career. After Rodney issued two walks and gave up a bunt single to open the eighth, Scutaro drove a two-strike change-up into the left-field corner, where it stayed just fair.

“I was just trying to see the ball and hit a fly ball — something,” Scutaro said of the fastballs he had seen earlier in the at-bat. “It’s tough when he’s throwing 97, 98 (mph), and then he throws a change.”

Although Josh Beckett (2-1) yielded five hits over seven innings in his first win since April 10, his hitters didn’t back him until late. That’s no surprise, since Boston scored 13 of its 17 runs in the series after the sixth.

“The way we ended the road trip, we can take that back with us and get to where we’re comfortable,” Beckett said after his second start back from a two-month stint on the disabled list. “We’ve still got more guys to get healthy, but a lot of us are coming back now. I feel like I’m strong.”

Kevin Youkilis tied it with a seventh-inning homer, while Adrian Beltre and Bill Hall hit early-inning solo shots as the Red Sox improved to 7-0 this season against the club that sent them home from last season’s playoffs. Even after a tough road trip with no days off, the Red Sox stayed within striking distance of New York and Tampa Bay atop the AL East.

The Angels don’t resemble a playoff team now — and not just because of another injury. Starter Joel Pineiro strained a muscle in his left side moments before the first pitch, sidelining him for six to eight weeks.

With their seventh loss in eight games, the Angels are plummeting out of the race for their sixth AL West title in seven seasons. Pineiro’s long-term absence won’t help.

“When I threw that curveball, I thought it was like a cramp or a muscle spasm,” Pineiro said. “So I thought maybe I could stretch it out and see what happens. Then I tried to throw another one, and there was no chance, no way to throw it.”

The Angels were swept at home for the first time in 80 series, ending the majors’ longest streak since Atlanta went 84 home series without being swept from 2003-06. Los Angeles hadn’t been swept in Angel Stadium since June 2007 against Kansas City.

“We’ll start to patch some things together here,” Angels Manager Mike Scioscia said after keeping his clubhouse closed for a long time. “Everything is a cause-and-effect, for sure, but we certainly don’t feel that we’re out of this right now. We’ve obviously been struggling the last couple of weeks. I think there’s options we need to look at, and when there’s something that’s going to make us better, internally or externally, we’ll act.”

With a day off today, Los Angeles used five relievers in Pineiro’s place. Although Scot Shields struggled in his first start in nearly seven years, the Angels stayed in it until Rodney (4-1) collapsed.

Beckett was the latest Boston player to look good after getting healthy, yielding three runs and striking out five. Clay Buchholz pitched well in the series opener two days ago, and catcher Victor Martinez played in all three games after returning Monday.

“This is a good way to end a road trip, and now we love home cooking,” said Hall, who made a leaping catch on Juan Rivera’s eighth-inning line drive with two runners on base.