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Finding the Fourth Proportional to 22,572.50, 31,149.09 and 12,500.90

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Solution

The fourth proportional to 22,572.50, 31,149.09 and 12,500.90 is: 17,250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,572.50 : 31,149.09 = 12,500.90 : x
  2. Step 2: Convert to fraction form
    22,572.50/31,149.09 = 12,500.90/x
  3. Step 3: Cross multiply
    22,572.50x = 31,149.09 × 12,500.90
  4. Step 4: Simplify right side
    22,572.50x = 389,391,659.18
  5. Step 5: Solve for x
    x = 389,391,659.18/22,572.50
  6. Step 6: Final answer
    x = 17,250.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.