Zend certified PHP/Magento developer

AWS – Unable to Connect to RDS from EC2 in Same VPC

I am trying to access an RDS instance from an EC2 instance, both of which are in the same VPC.

However, the EC2 instance is unable to communicate with the RDS instance. When I try to ping the RDS’s IP from the EC2 terminal, the request times out. I’ve gone through all the RDS documentation and nothing is helpful.

Ultimately I want to be able to communicated with the database from a Python application, but that is irrelevant to the core problem. Is there anything obvious that I am missing?