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Finding the Fourth Proportional to 17,906.63, 26,876.34 and 9,147.69

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Solution

The fourth proportional to 17,906.63, 26,876.34 and 9,147.69 is: 13,729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,906.63 : 26,876.34 = 9,147.69 : x
  2. Step 2: Convert to fraction form
    17,906.63/26,876.34 = 9,147.69/x
  3. Step 3: Cross multiply
    17,906.63x = 26,876.34 × 9,147.69
  4. Step 4: Simplify right side
    17,906.63x = 245,856,426.65
  5. Step 5: Solve for x
    x = 245,856,426.65/17,906.63
  6. Step 6: Final answer
    x = 13,729.91

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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.