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Finding the Fourth Proportional to 3,951.62, 5,926.35 and 1,487.78

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Solution

The fourth proportional to 3,951.62, 5,926.35 and 1,487.78 is: 2,231.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.62 : 5,926.35 = 1,487.78 : x
  2. Step 2: Convert to fraction form
    3,951.62/5,926.35 = 1,487.78/x
  3. Step 3: Cross multiply
    3,951.62x = 5,926.35 × 1,487.78
  4. Step 4: Simplify right side
    3,951.62x = 8,817,105.00
  5. Step 5: Solve for x
    x = 8,817,105.00/3,951.62
  6. Step 6: Final answer
    x = 2,231.26

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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.