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Finding the Fourth Proportional to 11,891.79, 17,839.35 and 4,099.59

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Solution

The fourth proportional to 11,891.79, 17,839.35 and 4,099.59 is: 6,149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.79 : 17,839.35 = 4,099.59 : x
  2. Step 2: Convert to fraction form
    11,891.79/17,839.35 = 4,099.59/x
  3. Step 3: Cross multiply
    11,891.79x = 17,839.35 × 4,099.59
  4. Step 4: Simplify right side
    11,891.79x = 73,134,020.87
  5. Step 5: Solve for x
    x = 73,134,020.87/11,891.79
  6. Step 6: Final answer
    x = 6,149.96

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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.