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Finding the Fourth Proportional to 3,987.75, 5,981.49 and 2,142.47

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Solution

The fourth proportional to 3,987.75, 5,981.49 and 2,142.47 is: 3,213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.75 : 5,981.49 = 2,142.47 : x
  2. Step 2: Convert to fraction form
    3,987.75/5,981.49 = 2,142.47/x
  3. Step 3: Cross multiply
    3,987.75x = 5,981.49 × 2,142.47
  4. Step 4: Simplify right side
    3,987.75x = 12,815,132.97
  5. Step 5: Solve for x
    x = 12,815,132.97/3,987.75
  6. Step 6: Final answer
    x = 3,213.62

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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.