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Finding the Fourth Proportional to 5,187.38, 7,781.13 and 1,724.63

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Solution

The fourth proportional to 5,187.38, 7,781.13 and 1,724.63 is: 2,586.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.38 : 7,781.13 = 1,724.63 : x
  2. Step 2: Convert to fraction form
    5,187.38/7,781.13 = 1,724.63/x
  3. Step 3: Cross multiply
    5,187.38x = 7,781.13 × 1,724.63
  4. Step 4: Simplify right side
    5,187.38x = 13,419,531.33
  5. Step 5: Solve for x
    x = 13,419,531.33/5,187.38
  6. Step 6: Final answer
    x = 2,586.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.