QPR proved more competitive as a team after Diakite's dismissal - he was red-carded after picking up a second yellow card for fouling Bryan Ruiz - with Fulham enjoying plenty of possession, but failing to capitalise on their numerical advantage.
Jonathan PearceBBC Match of the Day commentator
QPR are in deep trouble after another home defeat. They always had a mountain to climb after the sending off of Samba Diakite, who looked a little naive and has a lot to learn in the Premier League.
The game was never out of reach but QPR did not do enough to test Fulham, who looked like the more competent Premier League side.
For large parts of the second half it was hard to remember Kenny making a save, though in the closing stages gaps did begin to appear in the home side's defence with substitute Dickson Etuhu running clear only to shoot wide.
Andy Johnson scored a hat-trick in that game and, returning to the Fulham side for the first time since 27 January, he flicked a header past Kenny into the net only to be ruled offside.
Dembele was at the heart of Fulham's good work in an impressive start and it was his backheel that created Pogrebnyak's goal.
With his back to goal there seemed little danger but the Belgian international's vision and technique ensured the ball put the Russian international in the clear, with Pogrebnyak letting Kenny go to ground before rolling his shot into the net.
Hughes aggrieved by Diakite dismissal
Ruiz and Clint Dempsey were also prominent in those early Fulham attacks and the United States international almost added a second after a run and shot.
Fulham goalkeeper Mark Schwarzer was tested just once in the first half, saving well from a Wright-Phillips shot and then reacting quickly to block Bobby Zamora's follow-up, though the QPR striker had strayed offside.
Schwarzer did not have much to do in the second half, though he held his ground well to narrow the angle when Wright-Phillips spurned a late chance to draw level.
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