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Finding the Fourth Proportional to 3,127.92, 4,691.88 and 819.42

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Solution

The fourth proportional to 3,127.92, 4,691.88 and 819.42 is: 1,229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.92 : 4,691.88 = 819.42 : x
  2. Step 2: Convert to fraction form
    3,127.92/4,691.88 = 819.42/x
  3. Step 3: Cross multiply
    3,127.92x = 4,691.88 × 819.42
  4. Step 4: Simplify right side
    3,127.92x = 3,844,620.31
  5. Step 5: Solve for x
    x = 3,844,620.31/3,127.92
  6. Step 6: Final answer
    x = 1,229.13

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1.5x scale

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.