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Finding the Fourth Proportional to 21,874.94, 32,781.65 and 12,500.91

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Solution

The fourth proportional to 21,874.94, 32,781.65 and 12,500.91 is: 18,733.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.94 : 32,781.65 = 12,500.91 : x
  2. Step 2: Convert to fraction form
    21,874.94/32,781.65 = 12,500.91/x
  3. Step 3: Cross multiply
    21,874.94x = 32,781.65 × 12,500.91
  4. Step 4: Simplify right side
    21,874.94x = 409,800,456.30
  5. Step 5: Solve for x
    x = 409,800,456.30/21,874.94
  6. Step 6: Final answer
    x = 18,733.79

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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.