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Finding the Fourth Proportional to 26,754, 40,131 and 8,286

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Solution

The fourth proportional to 26,754, 40,131 and 8,286 is: 12,429

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,754 : 40,131 = 8,286 : x
  2. Step 2: Convert to fraction form
    26,754/40,131 = 8,286/x
  3. Step 3: Cross multiply
    26,754x = 40,131 × 8,286
  4. Step 4: Simplify right side
    26,754x = 332,525,466
  5. Step 5: Solve for x
    x = 332,525,466/26,754
  6. Step 6: Final answer
    x = 12,429

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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.