Landon's goal is to ride a total of 36 miles. He has already ridden 4 miles, which means he has \( 36 - 4 = 32 \) miles left to ride.
He plans to ride for 4 more days. Let's denote the average number of miles he needs to ride each day as \( m \). In 4 days, if he rides \( m \) miles each day, the total distance he rides in those 4 days can be expressed as \( 4m \).
The equation to represent the situation is: \[ 4m = 32 \]
Now, we can solve for \( m \): \[ m = \frac{32}{4} = 8 \]
Thus, Landon would have to ride 8 miles each day for the next 4 days to meet his goal of 36 miles this week.