Welcome to the AdWords community :-)
Your ad rank can be improved by making sure that you choose highly relevant keywords and ads. This will give you a higher quality score. Quality score and your bids will determine your ad rank. I've included some articles below fdor further reading, I hope this helps you -
Kind regards :-)
Just in case this was your question, AdWords advertising has absolutely no effect on your organic listing position. The systems are separate and do not share information.
Best of Luck!