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Finding the Fourth Proportional to 8,144.87, 12,198.17 and 3,971.81

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Solution

The fourth proportional to 8,144.87, 12,198.17 and 3,971.81 is: 5,948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.87 : 12,198.17 = 3,971.81 : x
  2. Step 2: Convert to fraction form
    8,144.87/12,198.17 = 3,971.81/x
  3. Step 3: Cross multiply
    8,144.87x = 12,198.17 × 3,971.81
  4. Step 4: Simplify right side
    8,144.87x = 48,448,854.01
  5. Step 5: Solve for x
    x = 48,448,854.01/8,144.87
  6. Step 6: Final answer
    x = 5,948.39

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1.5x scale

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.