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Finding the Fourth Proportional to 8,131.62, 12,189.05 and 3,966.49

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Solution

The fourth proportional to 8,131.62, 12,189.05 and 3,966.49 is: 5,945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.62 : 12,189.05 = 3,966.49 : x
  2. Step 2: Convert to fraction form
    8,131.62/12,189.05 = 3,966.49/x
  3. Step 3: Cross multiply
    8,131.62x = 12,189.05 × 3,966.49
  4. Step 4: Simplify right side
    8,131.62x = 48,347,694.63
  5. Step 5: Solve for x
    x = 48,347,694.63/8,131.62
  6. Step 6: Final answer
    x = 5,945.64

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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.