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Finding the Fourth Proportional to 11,591.96, 17,388 and 8,144.60

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Solution

The fourth proportional to 11,591.96, 17,388 and 8,144.60 is: 12,216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.96 : 17,388 = 8,144.60 : x
  2. Step 2: Convert to fraction form
    11,591.96/17,388 = 8,144.60/x
  3. Step 3: Cross multiply
    11,591.96x = 17,388 × 8,144.60
  4. Step 4: Simplify right side
    11,591.96x = 141,618,304.80
  5. Step 5: Solve for x
    x = 141,618,304.80/11,591.96
  6. Step 6: Final answer
    x = 12,216.94

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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.