To solve the equation \( \frac{30}{k} + 1 = 4 \), we can first isolate the fraction on one side of the equation.
Starting with: \[ \frac{30}{k} + 1 = 4 \]
Subtract 1 from both sides: \[ \frac{30}{k} = 4 - 1 \] \[ \frac{30}{k} = 3 \]
Next, we can cross-multiply to solve for \( k \): \[ 30 = 3k \]
Now, divide both sides by 3: \[ k = \frac{30}{3} \] \[ k = 10 \]
Thus, the value of \( k \) is \( 10 \).