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Finding the Fourth Proportional to 3,892.92, 5,372.10 and 2,320.20

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Solution

The fourth proportional to 3,892.92, 5,372.10 and 2,320.20 is: 3,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.92 : 5,372.10 = 2,320.20 : x
  2. Step 2: Convert to fraction form
    3,892.92/5,372.10 = 2,320.20/x
  3. Step 3: Cross multiply
    3,892.92x = 5,372.10 × 2,320.20
  4. Step 4: Simplify right side
    3,892.92x = 12,464,346.42
  5. Step 5: Solve for x
    x = 12,464,346.42/3,892.92
  6. Step 6: Final answer
    x = 3,201.80

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