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Finding the Fourth Proportional to 17,766, 26,654.22 and 5,286.12

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Solution

The fourth proportional to 17,766, 26,654.22 and 5,286.12 is: 7,930.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,766 : 26,654.22 = 5,286.12 : x
  2. Step 2: Convert to fraction form
    17,766/26,654.22 = 5,286.12/x
  3. Step 3: Cross multiply
    17,766x = 26,654.22 × 5,286.12
  4. Step 4: Simplify right side
    17,766x = 140,897,405.43
  5. Step 5: Solve for x
    x = 140,897,405.43/17,766
  6. Step 6: Final answer
    x = 7,930.73

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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.