You should be able to just plug the 3 regular cords into the component input with a few input spots left open. If you really need one then maybe AV to HDMI would work better? I tried to find what you were looking for, but got the same results. Tons of Component to AV, but no AV to Component. Sorry!
I found a way to do it, but it's gonna sound stupid! So you could buy two converters, an AV to HDMI and then run the HDMI output to an HDMI to Component converter. I found a couple good ones on Ebay. Here are the best. The AV to HDMI The HDMI to Component
Not sure how it would work, but it's worth a shot! Let me know how it goes!