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Finding the Fourth Proportional to 21,601.76, 32,411.10 and 8,451.88

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Solution

The fourth proportional to 21,601.76, 32,411.10 and 8,451.88 is: 12,681.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,601.76 : 32,411.10 = 8,451.88 : x
  2. Step 2: Convert to fraction form
    21,601.76/32,411.10 = 8,451.88/x
  3. Step 3: Cross multiply
    21,601.76x = 32,411.10 × 8,451.88
  4. Step 4: Simplify right side
    21,601.76x = 273,934,727.87
  5. Step 5: Solve for x
    x = 273,934,727.87/21,601.76
  6. Step 6: Final answer
    x = 12,681.13

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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.