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Finding the Fourth Proportional to 11,676, 17,517.46 and 5,439.68

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Solution

The fourth proportional to 11,676, 17,517.46 and 5,439.68 is: 8,161.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676 : 17,517.46 = 5,439.68 : x
  2. Step 2: Convert to fraction form
    11,676/17,517.46 = 5,439.68/x
  3. Step 3: Cross multiply
    11,676x = 17,517.46 × 5,439.68
  4. Step 4: Simplify right side
    11,676x = 95,289,376.81
  5. Step 5: Solve for x
    x = 95,289,376.81/11,676
  6. Step 6: Final answer
    x = 8,161.13

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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.