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Finding the Fourth Proportional to 3,942.97, 5,442.42 and 2,350.71

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Solution

The fourth proportional to 3,942.97, 5,442.42 and 2,350.71 is: 3,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.97 : 5,442.42 = 2,350.71 : x
  2. Step 2: Convert to fraction form
    3,942.97/5,442.42 = 2,350.71/x
  3. Step 3: Cross multiply
    3,942.97x = 5,442.42 × 2,350.71
  4. Step 4: Simplify right side
    3,942.97x = 12,793,551.12
  5. Step 5: Solve for x
    x = 12,793,551.12/3,942.97
  6. Step 6: Final answer
    x = 3,244.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.