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Finding the Fourth Proportional to 3,251.71, 4,882.43 and 3,138.31

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Solution

The fourth proportional to 3,251.71, 4,882.43 and 3,138.31 is: 4,712.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.71 : 4,882.43 = 3,138.31 : x
  2. Step 2: Convert to fraction form
    3,251.71/4,882.43 = 3,138.31/x
  3. Step 3: Cross multiply
    3,251.71x = 4,882.43 × 3,138.31
  4. Step 4: Simplify right side
    3,251.71x = 15,322,551.00
  5. Step 5: Solve for x
    x = 15,322,551.00/3,251.71
  6. Step 6: Final answer
    x = 4,712.16

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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.