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Finding the Fourth Proportional to 8,132.11, 12,198.13 and 1,976.11

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Solution

The fourth proportional to 8,132.11, 12,198.13 and 1,976.11 is: 2,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.11 : 12,198.13 = 1,976.11 : x
  2. Step 2: Convert to fraction form
    8,132.11/12,198.13 = 1,976.11/x
  3. Step 3: Cross multiply
    8,132.11x = 12,198.13 × 1,976.11
  4. Step 4: Simplify right side
    8,132.11x = 24,104,846.67
  5. Step 5: Solve for x
    x = 24,104,846.67/8,132.11
  6. Step 6: Final answer
    x = 2,964.16

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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.