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Finding the Fourth Proportional to 3,987.74, 5,976.35 and 3,059.75

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Solution

The fourth proportional to 3,987.74, 5,976.35 and 3,059.75 is: 4,585.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.74 : 5,976.35 = 3,059.75 : x
  2. Step 2: Convert to fraction form
    3,987.74/5,976.35 = 3,059.75/x
  3. Step 3: Cross multiply
    3,987.74x = 5,976.35 × 3,059.75
  4. Step 4: Simplify right side
    3,987.74x = 18,286,121.61
  5. Step 5: Solve for x
    x = 18,286,121.61/3,987.74
  6. Step 6: Final answer
    x = 4,585.59

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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.