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Finding the Fourth Proportional to 5,471.74, 8,207.55 and 3,712.39

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Solution

The fourth proportional to 5,471.74, 8,207.55 and 3,712.39 is: 5,568.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.74 : 8,207.55 = 3,712.39 : x
  2. Step 2: Convert to fraction form
    5,471.74/8,207.55 = 3,712.39/x
  3. Step 3: Cross multiply
    5,471.74x = 8,207.55 × 3,712.39
  4. Step 4: Simplify right side
    5,471.74x = 30,469,626.54
  5. Step 5: Solve for x
    x = 30,469,626.54/5,471.74
  6. Step 6: Final answer
    x = 5,568.54

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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.