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Finding the Fourth Proportional to 21,874.34, 32,824.92 and 8,727.86

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Solution

The fourth proportional to 21,874.34, 32,824.92 and 8,727.86 is: 13,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.34 : 32,824.92 = 8,727.86 : x
  2. Step 2: Convert to fraction form
    21,874.34/32,824.92 = 8,727.86/x
  3. Step 3: Cross multiply
    21,874.34x = 32,824.92 × 8,727.86
  4. Step 4: Simplify right side
    21,874.34x = 286,491,306.27
  5. Step 5: Solve for x
    x = 286,491,306.27/21,874.34
  6. Step 6: Final answer
    x = 13,097.14

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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.