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Finding the Fourth Proportional to 11,454.62, 17,179.90 and 5,213.18

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Solution

The fourth proportional to 11,454.62, 17,179.90 and 5,213.18 is: 7,818.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.62 : 17,179.90 = 5,213.18 : x
  2. Step 2: Convert to fraction form
    11,454.62/17,179.90 = 5,213.18/x
  3. Step 3: Cross multiply
    11,454.62x = 17,179.90 × 5,213.18
  4. Step 4: Simplify right side
    11,454.62x = 89,561,911.08
  5. Step 5: Solve for x
    x = 89,561,911.08/11,454.62
  6. Step 6: Final answer
    x = 7,818.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.