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Finding the Fourth Proportional to 3,987.75, 5,982.59 and 1,251.75

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Solution

The fourth proportional to 3,987.75, 5,982.59 and 1,251.75 is: 1,877.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.75 : 5,982.59 = 1,251.75 : x
  2. Step 2: Convert to fraction form
    3,987.75/5,982.59 = 1,251.75/x
  3. Step 3: Cross multiply
    3,987.75x = 5,982.59 × 1,251.75
  4. Step 4: Simplify right side
    3,987.75x = 7,488,707.03
  5. Step 5: Solve for x
    x = 7,488,707.03/3,987.75
  6. Step 6: Final answer
    x = 1,877.93

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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.