How do you solve a proportion?
Cross multiply.
2/3 = x/12
3x = 2 * 12
3x = 24
x = 8
How to get the 8
To solve a proportion, you need to follow a few simple steps:
Step 1: Identify the given values. Look at the proportion and identify the values that are already known to you. It can be two numbers or a ratio.
Step 2: Set up the proportion. Write the given values in their corresponding places. For example, if the proportion is a/b = c/d, write the known values as a, b, c, and d.
Step 3: Cross-multiply. Multiply the numerator of the first fraction by the denominator of the second fraction, and then multiply the numerator of the second fraction by the denominator of the first fraction. This will give you two cross-products.
Step 4: Set the cross-products equal to each other. Write an equation by setting the two cross-products equal to each other. This equation represents the proportion.
Step 5: Solve for the unknown value. Rearrange the equation by isolating the variable you are solving for. This might involve simplifying, adding or subtracting, multiplying or dividing both sides of the equation.
Step 6: Check your solution. Once you have found the value of the unknown variable, substitute it back into the original proportion to ensure that both sides are equal. If they are, then the solution is correct.
It's important to note that in proportions, you are comparing two ratios or fractions. The four values involved typically represent quantities in a proportional relationship.