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Finding the Fourth Proportional to 4,882.43, 7,324.97 and 1,962.78

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Solution

The fourth proportional to 4,882.43, 7,324.97 and 1,962.78 is: 2,944.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.43 : 7,324.97 = 1,962.78 : x
  2. Step 2: Convert to fraction form
    4,882.43/7,324.97 = 1,962.78/x
  3. Step 3: Cross multiply
    4,882.43x = 7,324.97 × 1,962.78
  4. Step 4: Simplify right side
    4,882.43x = 14,377,294.80
  5. Step 5: Solve for x
    x = 14,377,294.80/4,882.43
  6. Step 6: Final answer
    x = 2,944.70

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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.