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Finding the Fourth Proportional to 11,687.66, 17,517.62 and 6,747.08

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Solution

The fourth proportional to 11,687.66, 17,517.62 and 6,747.08 is: 10,112.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.66 : 17,517.62 = 6,747.08 : x
  2. Step 2: Convert to fraction form
    11,687.66/17,517.62 = 6,747.08/x
  3. Step 3: Cross multiply
    11,687.66x = 17,517.62 × 6,747.08
  4. Step 4: Simplify right side
    11,687.66x = 118,192,783.55
  5. Step 5: Solve for x
    x = 118,192,783.55/11,687.66
  6. Step 6: Final answer
    x = 10,112.61

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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.