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Finding the Fourth Proportional to 11,918.31, 17,873.98 and 4,517.43

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Solution

The fourth proportional to 11,918.31, 17,873.98 and 4,517.43 is: 6,774.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.31 : 17,873.98 = 4,517.43 : x
  2. Step 2: Convert to fraction form
    11,918.31/17,873.98 = 4,517.43/x
  3. Step 3: Cross multiply
    11,918.31x = 17,873.98 × 4,517.43
  4. Step 4: Simplify right side
    11,918.31x = 80,744,453.47
  5. Step 5: Solve for x
    x = 80,744,453.47/11,918.31
  6. Step 6: Final answer
    x = 6,774.82

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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.