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Finding the Fourth Proportional to 8,122, 12,183 and 1,966

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Solution

The fourth proportional to 8,122, 12,183 and 1,966 is: 2,949

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122 : 12,183 = 1,966 : x
  2. Step 2: Convert to fraction form
    8,122/12,183 = 1,966/x
  3. Step 3: Cross multiply
    8,122x = 12,183 × 1,966
  4. Step 4: Simplify right side
    8,122x = 23,951,778
  5. Step 5: Solve for x
    x = 23,951,778/8,122
  6. Step 6: Final answer
    x = 2,949

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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.