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Finding the Fourth Proportional to 8,179.64, 12,206.57 and 8,132.86

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Solution

The fourth proportional to 8,179.64, 12,206.57 and 8,132.86 is: 12,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.64 : 12,206.57 = 8,132.86 : x
  2. Step 2: Convert to fraction form
    8,179.64/12,206.57 = 8,132.86/x
  3. Step 3: Cross multiply
    8,179.64x = 12,206.57 × 8,132.86
  4. Step 4: Simplify right side
    8,179.64x = 99,274,324.89
  5. Step 5: Solve for x
    x = 99,274,324.89/8,179.64
  6. Step 6: Final answer
    x = 12,136.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.