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Finding the Fourth Proportional to 5,381.72, 8,069.86 and 2,462.08

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Solution

The fourth proportional to 5,381.72, 8,069.86 and 2,462.08 is: 3,691.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.72 : 8,069.86 = 2,462.08 : x
  2. Step 2: Convert to fraction form
    5,381.72/8,069.86 = 2,462.08/x
  3. Step 3: Cross multiply
    5,381.72x = 8,069.86 × 2,462.08
  4. Step 4: Simplify right side
    5,381.72x = 19,868,640.91
  5. Step 5: Solve for x
    x = 19,868,640.91/5,381.72
  6. Step 6: Final answer
    x = 3,691.88

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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.