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Finding the Fourth Proportional to 3,892.97, 5,372.75 and 2,168.43

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Solution

The fourth proportional to 3,892.97, 5,372.75 and 2,168.43 is: 2,992.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.97 : 5,372.75 = 2,168.43 : x
  2. Step 2: Convert to fraction form
    3,892.97/5,372.75 = 2,168.43/x
  3. Step 3: Cross multiply
    3,892.97x = 5,372.75 × 2,168.43
  4. Step 4: Simplify right side
    3,892.97x = 11,650,432.28
  5. Step 5: Solve for x
    x = 11,650,432.28/3,892.97
  6. Step 6: Final answer
    x = 2,992.68

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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.