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Finding the Fourth Proportional to 10,472.80, 15,701.20 and 5,282.40

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Solution

The fourth proportional to 10,472.80, 15,701.20 and 5,282.40 is: 7,919.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.80 : 15,701.20 = 5,282.40 : x
  2. Step 2: Convert to fraction form
    10,472.80/15,701.20 = 5,282.40/x
  3. Step 3: Cross multiply
    10,472.80x = 15,701.20 × 5,282.40
  4. Step 4: Simplify right side
    10,472.80x = 82,940,018.88
  5. Step 5: Solve for x
    x = 82,940,018.88/10,472.80
  6. Step 6: Final answer
    x = 7,919.56

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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.