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Finding the Fourth Proportional to 20,432, 30,649.76 and 5,640.92

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Solution

The fourth proportional to 20,432, 30,649.76 and 5,640.92 is: 8,461.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,432 : 30,649.76 = 5,640.92 : x
  2. Step 2: Convert to fraction form
    20,432/30,649.76 = 5,640.92/x
  3. Step 3: Cross multiply
    20,432x = 30,649.76 × 5,640.92
  4. Step 4: Simplify right side
    20,432x = 172,892,844.18
  5. Step 5: Solve for x
    x = 172,892,844.18/20,432
  6. Step 6: Final answer
    x = 8,461.87

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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.