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Finding the Fourth Proportional to 10,472.64, 15,700.20 and 7,177.68

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Solution

The fourth proportional to 10,472.64, 15,700.20 and 7,177.68 is: 10,760.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.64 : 15,700.20 = 7,177.68 : x
  2. Step 2: Convert to fraction form
    10,472.64/15,700.20 = 7,177.68/x
  3. Step 3: Cross multiply
    10,472.64x = 15,700.20 × 7,177.68
  4. Step 4: Simplify right side
    10,472.64x = 112,691,011.54
  5. Step 5: Solve for x
    x = 112,691,011.54/10,472.64
  6. Step 6: Final answer
    x = 10,760.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.