Let's use x to represent the number of blue pens in the box.
We know that there are 3 green pens for every 4 blue pens.
So, we can set up the following proportion:
3/4 = 15/x
To solve for x, we can cross-multiply:
3x = 60
Then, we can divide both sides by 3:
x = 20
Therefore, there are 20 blue pens in the box.