To find the average points per game that Pedro scored, we can start by manipulating the given equation:
\[ 4y = 104x \]
To determine \(y\) (the total number of points), we first isolate \(y\) by dividing both sides of the equation by 4:
\[ y = \frac{104x}{4} \] \[ y = 26x \]
This equation shows that the total points \(y\) is directly proportional to the number of games \(x\) with a proportionality constant of 26. Thus, for every game Pedro played, he scored an average of 26 points.
So, the average points per game that Pedro scored is:
\[ \boxed{26} \]