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Finding the Fourth Proportional to 16,105.71, 22,234.20 and 12,512.61

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Solution

The fourth proportional to 16,105.71, 22,234.20 and 12,512.61 is: 17,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,105.71 : 22,234.20 = 12,512.61 : x
  2. Step 2: Convert to fraction form
    16,105.71/22,234.20 = 12,512.61/x
  3. Step 3: Cross multiply
    16,105.71x = 22,234.20 × 12,512.61
  4. Step 4: Simplify right side
    16,105.71x = 278,207,873.26
  5. Step 5: Solve for x
    x = 278,207,873.26/16,105.71
  6. Step 6: Final answer
    x = 17,273.87

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