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Finding the Fourth Proportional to 10,874, 16,311 and 2,666

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Solution

The fourth proportional to 10,874, 16,311 and 2,666 is: 3,999

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874 : 16,311 = 2,666 : x
  2. Step 2: Convert to fraction form
    10,874/16,311 = 2,666/x
  3. Step 3: Cross multiply
    10,874x = 16,311 × 2,666
  4. Step 4: Simplify right side
    10,874x = 43,485,126
  5. Step 5: Solve for x
    x = 43,485,126/10,874
  6. Step 6: Final answer
    x = 3,999

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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.