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Finding the Fourth Proportional to 21,732.20, 32,591.90 and 8,580.20

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Solution

The fourth proportional to 21,732.20, 32,591.90 and 8,580.20 is: 12,867.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,732.20 : 32,591.90 = 8,580.20 : x
  2. Step 2: Convert to fraction form
    21,732.20/32,591.90 = 8,580.20/x
  3. Step 3: Cross multiply
    21,732.20x = 32,591.90 × 8,580.20
  4. Step 4: Simplify right side
    21,732.20x = 279,645,020.38
  5. Step 5: Solve for x
    x = 279,645,020.38/21,732.20
  6. Step 6: Final answer
    x = 12,867.77

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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.