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Finding the Fourth Proportional to 5,382.56, 8,073.41 and 3,402.42

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Solution

The fourth proportional to 5,382.56, 8,073.41 and 3,402.42 is: 5,103.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.56 : 8,073.41 = 3,402.42 : x
  2. Step 2: Convert to fraction form
    5,382.56/8,073.41 = 3,402.42/x
  3. Step 3: Cross multiply
    5,382.56x = 8,073.41 × 3,402.42
  4. Step 4: Simplify right side
    5,382.56x = 27,469,110.07
  5. Step 5: Solve for x
    x = 27,469,110.07/5,382.56
  6. Step 6: Final answer
    x = 5,103.35

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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.