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Finding the Fourth Proportional to 7,874, 11,811 and 3,257.12

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Solution

The fourth proportional to 7,874, 11,811 and 3,257.12 is: 4,885.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874 : 11,811 = 3,257.12 : x
  2. Step 2: Convert to fraction form
    7,874/11,811 = 3,257.12/x
  3. Step 3: Cross multiply
    7,874x = 11,811 × 3,257.12
  4. Step 4: Simplify right side
    7,874x = 38,469,844.32
  5. Step 5: Solve for x
    x = 38,469,844.32/7,874
  6. Step 6: Final answer
    x = 4,885.68

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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.