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Finding the Fourth Proportional to 20,589.16, 30,876.80 and 8,105.90

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Solution

The fourth proportional to 20,589.16, 30,876.80 and 8,105.90 is: 12,156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,589.16 : 30,876.80 = 8,105.90 : x
  2. Step 2: Convert to fraction form
    20,589.16/30,876.80 = 8,105.90/x
  3. Step 3: Cross multiply
    20,589.16x = 30,876.80 × 8,105.90
  4. Step 4: Simplify right side
    20,589.16x = 250,284,253.12
  5. Step 5: Solve for x
    x = 250,284,253.12/20,589.16
  6. Step 6: Final answer
    x = 12,156.12

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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.