Answer
$x=4500$
Work Step by Step
Since 1500 is one-third of the budget, you must multiply it by three to find the amount of the entire budget.
$x=1500\times3$
When you multiply these, you get:
$x=4500$
Therefore, the full budget is 4500.
An alternate way to do this is to Cross-Multiply.
$\frac{1500}{x}=\frac{1}{3}$
The first step of cross multiplication is multiplying the numerator of the first fraction by the denominator of the second.
$1500\times3=4500$
Next, you must divide it by the numerator of the first fraction. Since the numerator is one, it will not have any effect in cross multiplication. Therefore:
$x=4500$