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Finding the Fourth Proportional to 26,874, 40,311 and 8,406

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Solution

The fourth proportional to 26,874, 40,311 and 8,406 is: 12,609

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,874 : 40,311 = 8,406 : x
  2. Step 2: Convert to fraction form
    26,874/40,311 = 8,406/x
  3. Step 3: Cross multiply
    26,874x = 40,311 × 8,406
  4. Step 4: Simplify right side
    26,874x = 338,854,266
  5. Step 5: Solve for x
    x = 338,854,266/26,874
  6. Step 6: Final answer
    x = 12,609

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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.