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Finding the Fourth Proportional to 17,481.78, 24,121.14 and 11,817.42

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Solution

The fourth proportional to 17,481.78, 24,121.14 and 11,817.42 is: 16,305.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,481.78 : 24,121.14 = 11,817.42 : x
  2. Step 2: Convert to fraction form
    17,481.78/24,121.14 = 11,817.42/x
  3. Step 3: Cross multiply
    17,481.78x = 24,121.14 × 11,817.42
  4. Step 4: Simplify right side
    17,481.78x = 285,049,642.26
  5. Step 5: Solve for x
    x = 285,049,642.26/17,481.78
  6. Step 6: Final answer
    x = 16,305.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.