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Finding the Fourth Proportional to 20,778, 31,167 and 9,091.22

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Solution

The fourth proportional to 20,778, 31,167 and 9,091.22 is: 13,636.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,778 : 31,167 = 9,091.22 : x
  2. Step 2: Convert to fraction form
    20,778/31,167 = 9,091.22/x
  3. Step 3: Cross multiply
    20,778x = 31,167 × 9,091.22
  4. Step 4: Simplify right side
    20,778x = 283,345,897.91
  5. Step 5: Solve for x
    x = 283,345,897.91/20,778
  6. Step 6: Final answer
    x = 13,636.82

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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.