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Finding the Fourth Proportional to 20,427, 30,640.50 and 5,636.04

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Solution

The fourth proportional to 20,427, 30,640.50 and 5,636.04 is: 8,454.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,427 : 30,640.50 = 5,636.04 : x
  2. Step 2: Convert to fraction form
    20,427/30,640.50 = 5,636.04/x
  3. Step 3: Cross multiply
    20,427x = 30,640.50 × 5,636.04
  4. Step 4: Simplify right side
    20,427x = 172,691,083.62
  5. Step 5: Solve for x
    x = 172,691,083.62/20,427
  6. Step 6: Final answer
    x = 8,454.06

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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.