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Finding the Fourth Proportional to 8,178.64, 12,205.08 and 8,131.86

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Solution

The fourth proportional to 8,178.64, 12,205.08 and 8,131.86 is: 12,135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.64 : 12,205.08 = 8,131.86 : x
  2. Step 2: Convert to fraction form
    8,178.64/12,205.08 = 8,131.86/x
  3. Step 3: Cross multiply
    8,178.64x = 12,205.08 × 8,131.86
  4. Step 4: Simplify right side
    8,178.64x = 99,250,001.85
  5. Step 5: Solve for x
    x = 99,250,001.85/8,178.64
  6. Step 6: Final answer
    x = 12,135.27

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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.