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Finding the Fourth Proportional to 8,251.75, 12,372.16 and 2,986.08

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Solution

The fourth proportional to 8,251.75, 12,372.16 and 2,986.08 is: 4,477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.75 : 12,372.16 = 2,986.08 : x
  2. Step 2: Convert to fraction form
    8,251.75/12,372.16 = 2,986.08/x
  3. Step 3: Cross multiply
    8,251.75x = 12,372.16 × 2,986.08
  4. Step 4: Simplify right side
    8,251.75x = 36,944,191.44
  5. Step 5: Solve for x
    x = 36,944,191.44/8,251.75
  6. Step 6: Final answer
    x = 4,477.13

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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.