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Finding the Fourth Proportional to 11,889.12, 17,834.08 and 5,645.90

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Solution

The fourth proportional to 11,889.12, 17,834.08 and 5,645.90 is: 8,469.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.12 : 17,834.08 = 5,645.90 : x
  2. Step 2: Convert to fraction form
    11,889.12/17,834.08 = 5,645.90/x
  3. Step 3: Cross multiply
    11,889.12x = 17,834.08 × 5,645.90
  4. Step 4: Simplify right side
    11,889.12x = 100,689,432.27
  5. Step 5: Solve for x
    x = 100,689,432.27/11,889.12
  6. Step 6: Final answer
    x = 8,469.04

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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.