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Finding the Fourth Proportional to 3,902.60, 5,854.92 and 1,711.76

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Solution

The fourth proportional to 3,902.60, 5,854.92 and 1,711.76 is: 2,568.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.60 : 5,854.92 = 1,711.76 : x
  2. Step 2: Convert to fraction form
    3,902.60/5,854.92 = 1,711.76/x
  3. Step 3: Cross multiply
    3,902.60x = 5,854.92 × 1,711.76
  4. Step 4: Simplify right side
    3,902.60x = 10,022,217.86
  5. Step 5: Solve for x
    x = 10,022,217.86/3,902.60
  6. Step 6: Final answer
    x = 2,568.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.