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Finding the Fourth Proportional to 3,963.16, 5,942.33 and 2,729.20

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Solution

The fourth proportional to 3,963.16, 5,942.33 and 2,729.20 is: 4,092.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.16 : 5,942.33 = 2,729.20 : x
  2. Step 2: Convert to fraction form
    3,963.16/5,942.33 = 2,729.20/x
  3. Step 3: Cross multiply
    3,963.16x = 5,942.33 × 2,729.20
  4. Step 4: Simplify right side
    3,963.16x = 16,217,763.68
  5. Step 5: Solve for x
    x = 16,217,763.68/3,963.16
  6. Step 6: Final answer
    x = 4,092.13

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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.