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Finding the Fourth Proportional to 5,471.66, 8,207.42 and 3,712.30

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Solution

The fourth proportional to 5,471.66, 8,207.42 and 3,712.30 is: 5,568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.66 : 8,207.42 = 3,712.30 : x
  2. Step 2: Convert to fraction form
    5,471.66/8,207.42 = 3,712.30/x
  3. Step 3: Cross multiply
    5,471.66x = 8,207.42 × 3,712.30
  4. Step 4: Simplify right side
    5,471.66x = 30,468,366.19
  5. Step 5: Solve for x
    x = 30,468,366.19/5,471.66
  6. Step 6: Final answer
    x = 5,568.39

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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.