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Finding the Fourth Proportional to 6,778, 10,167 and 2,161

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Solution

The fourth proportional to 6,778, 10,167 and 2,161 is: 3,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778 : 10,167 = 2,161 : x
  2. Step 2: Convert to fraction form
    6,778/10,167 = 2,161/x
  3. Step 3: Cross multiply
    6,778x = 10,167 × 2,161
  4. Step 4: Simplify right side
    6,778x = 21,970,887
  5. Step 5: Solve for x
    x = 21,970,887/6,778
  6. Step 6: Final answer
    x = 3,241.50

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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.