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Finding the Fourth Proportional to 20,572.89, 30,819.89 and 12,227.61

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Solution

The fourth proportional to 20,572.89, 30,819.89 and 12,227.61 is: 18,317.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,572.89 : 30,819.89 = 12,227.61 : x
  2. Step 2: Convert to fraction form
    20,572.89/30,819.89 = 12,227.61/x
  3. Step 3: Cross multiply
    20,572.89x = 30,819.89 × 12,227.61
  4. Step 4: Simplify right side
    20,572.89x = 376,853,567.94
  5. Step 5: Solve for x
    x = 376,853,567.94/20,572.89
  6. Step 6: Final answer
    x = 18,317.97

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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.