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Finding the Fourth Proportional to 20,414.57, 30,621.87 and 6,375.80

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Solution

The fourth proportional to 20,414.57, 30,621.87 and 6,375.80 is: 9,563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,414.57 : 30,621.87 = 6,375.80 : x
  2. Step 2: Convert to fraction form
    20,414.57/30,621.87 = 6,375.80/x
  3. Step 3: Cross multiply
    20,414.57x = 30,621.87 × 6,375.80
  4. Step 4: Simplify right side
    20,414.57x = 195,238,995.30
  5. Step 5: Solve for x
    x = 195,238,995.30/20,414.57
  6. Step 6: Final answer
    x = 9,563.71

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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.