Solve for $m$ in the proportion.
$\frac{13.5}{14.4}=\frac{m}{12.8}$
$m=$
Answer (2)
Set up the proportion: 14.4 13.5 = 12.8 m .
Multiply both sides by 12.8 to isolate m : m = 14.4 13.5 × 12.8 .
Calculate the value of m : m = 12 .
The solution for m is: 12 .
Explanation
Understanding the Problem We are given the proportion 14.4 13.5 = 12.8 m and we need to solve for m . This is a problem involving ratios and proportions.
Isolating m To solve for m , we can multiply both sides of the equation by 12.8 to isolate m on one side of the equation.
Setting up the Calculation Multiplying both sides by 12.8, we get: m = 14.4 13.5 × 12.8
Calculating the Value of m Now, we perform the calculation: m = 14.4 13.5 × 12.8 = 14.4 172.8 = 12
Final Answer Therefore, the value of m is 12.
Examples
Proportions are used in everyday life, such as when scaling a recipe. If a recipe calls for 2 cups of flour for 3 servings, you can use a proportion to determine how much flour you need for 6 servings. Similarly, proportions are used in calculating distances on maps, determining the correct mixture for fuels, and in many other practical applications where maintaining a constant ratio is important.
To find m in the proportion 14.4 13.5 = 12.8 m , you multiply both sides by 12.8 and calculate m = 12 .
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