Home / 1,502.40-2,072.80-913.12

Finding the Fourth Proportional to 1,502.40, 2,072.80 and 913.12

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Solution

The fourth proportional to 1,502.40, 2,072.80 and 913.12 is: 1,259.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.40 : 2,072.80 = 913.12 : x
  2. Step 2: Convert to fraction form
    1,502.40/2,072.80 = 913.12/x
  3. Step 3: Cross multiply
    1,502.40x = 2,072.80 × 913.12
  4. Step 4: Simplify right side
    1,502.40x = 1,892,715.14
  5. Step 5: Solve for x
    x = 1,892,715.14/1,502.40
  6. Step 6: Final answer
    x = 1,259.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.