The stock Dell supply, from what I find, is a 350 watt power supply.  The Corsair is rated 430 watts. If it were mine I wouldn't be concerned, and try it.  
I have an Inspiron 3847 that operates just fine; however, over the course of the last six months or so the power supply has become very loud when I first start the computer. The fan makes a loud noise that, over a few minutes, disappears. This happens each and every time I turn on the PC. It doesn't seem to be having an effect on the computer which, as I said above, is running normally. I suspect it's a bearing going bad on the fan, but I don't understand why it goes away and doesn't return until the PC is cold and restarted. Does anyone know if there's a fix for this short of replacing the power supply? And, if not, should I be concerned about it?
Inspiron 3847 Loud Power Supply Fan