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Finding the Fourth Proportional to 3,987.78, 5,981.61 and 1,251.78

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Solution

The fourth proportional to 3,987.78, 5,981.61 and 1,251.78 is: 1,877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.78 : 5,981.61 = 1,251.78 : x
  2. Step 2: Convert to fraction form
    3,987.78/5,981.61 = 1,251.78/x
  3. Step 3: Cross multiply
    3,987.78x = 5,981.61 × 1,251.78
  4. Step 4: Simplify right side
    3,987.78x = 7,487,659.77
  5. Step 5: Solve for x
    x = 7,487,659.77/3,987.78
  6. Step 6: Final answer
    x = 1,877.65

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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.