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Finding the Fourth Proportional to 21,934.96, 32,906.86 and 7,139.90

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Solution

The fourth proportional to 21,934.96, 32,906.86 and 7,139.90 is: 10,711.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,934.96 : 32,906.86 = 7,139.90 : x
  2. Step 2: Convert to fraction form
    21,934.96/32,906.86 = 7,139.90/x
  3. Step 3: Cross multiply
    21,934.96x = 32,906.86 × 7,139.90
  4. Step 4: Simplify right side
    21,934.96x = 234,951,689.71
  5. Step 5: Solve for x
    x = 234,951,689.71/21,934.96
  6. Step 6: Final answer
    x = 10,711.29

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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.