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Finding the Fourth Proportional to 20,592.90, 30,899.68 and 8,121.87

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Solution

The fourth proportional to 20,592.90, 30,899.68 and 8,121.87 is: 12,186.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,592.90 : 30,899.68 = 8,121.87 : x
  2. Step 2: Convert to fraction form
    20,592.90/30,899.68 = 8,121.87/x
  3. Step 3: Cross multiply
    20,592.90x = 30,899.68 × 8,121.87
  4. Step 4: Simplify right side
    20,592.90x = 250,963,163.70
  5. Step 5: Solve for x
    x = 250,963,163.70/20,592.90
  6. Step 6: Final answer
    x = 12,186.88

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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.