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Finding the Fourth Proportional to 3,988.72, 5,982.63 and 1,067.32

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Solution

The fourth proportional to 3,988.72, 5,982.63 and 1,067.32 is: 1,600.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,988.72 : 5,982.63 = 1,067.32 : x
  2. Step 2: Convert to fraction form
    3,988.72/5,982.63 = 1,067.32/x
  3. Step 3: Cross multiply
    3,988.72x = 5,982.63 × 1,067.32
  4. Step 4: Simplify right side
    3,988.72x = 6,385,380.65
  5. Step 5: Solve for x
    x = 6,385,380.65/3,988.72
  6. Step 6: Final answer
    x = 1,600.86

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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.