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Finding the Fourth Proportional to 3,991.38, 5,987.80 and 1,909.97

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Solution

The fourth proportional to 3,991.38, 5,987.80 and 1,909.97 is: 2,865.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.38 : 5,987.80 = 1,909.97 : x
  2. Step 2: Convert to fraction form
    3,991.38/5,987.80 = 1,909.97/x
  3. Step 3: Cross multiply
    3,991.38x = 5,987.80 × 1,909.97
  4. Step 4: Simplify right side
    3,991.38x = 11,436,513.27
  5. Step 5: Solve for x
    x = 11,436,513.27/3,991.38
  6. Step 6: Final answer
    x = 2,865.31

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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.