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Finding the Fourth Proportional to 11,991.87, 17,976.84 and 4,196.43

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Solution

The fourth proportional to 11,991.87, 17,976.84 and 4,196.43 is: 6,290.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.87 : 17,976.84 = 4,196.43 : x
  2. Step 2: Convert to fraction form
    11,991.87/17,976.84 = 4,196.43/x
  3. Step 3: Cross multiply
    11,991.87x = 17,976.84 × 4,196.43
  4. Step 4: Simplify right side
    11,991.87x = 75,438,550.68
  5. Step 5: Solve for x
    x = 75,438,550.68/11,991.87
  6. Step 6: Final answer
    x = 6,290.81

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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.