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Finding the Fourth Proportional to 11,915.23, 17,866 and 4,514.97

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Solution

The fourth proportional to 11,915.23, 17,866 and 4,514.97 is: 6,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.23 : 17,866 = 4,514.97 : x
  2. Step 2: Convert to fraction form
    11,915.23/17,866 = 4,514.97/x
  3. Step 3: Cross multiply
    11,915.23x = 17,866 × 4,514.97
  4. Step 4: Simplify right side
    11,915.23x = 80,664,454.02
  5. Step 5: Solve for x
    x = 80,664,454.02/11,915.23
  6. Step 6: Final answer
    x = 6,769.86

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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.