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Finding the Fourth Proportional to 21,417.17, 32,127 and 8,269.61

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Solution

The fourth proportional to 21,417.17, 32,127 and 8,269.61 is: 12,404.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,417.17 : 32,127 = 8,269.61 : x
  2. Step 2: Convert to fraction form
    21,417.17/32,127 = 8,269.61/x
  3. Step 3: Cross multiply
    21,417.17x = 32,127 × 8,269.61
  4. Step 4: Simplify right side
    21,417.17x = 265,677,760.47
  5. Step 5: Solve for x
    x = 265,677,760.47/21,417.17
  6. Step 6: Final answer
    x = 12,404.90

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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.