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Finding the Fourth Proportional to 8,129.85, 12,194.49 and 3,446.84

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Solution

The fourth proportional to 8,129.85, 12,194.49 and 3,446.84 is: 5,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.85 : 12,194.49 = 3,446.84 : x
  2. Step 2: Convert to fraction form
    8,129.85/12,194.49 = 3,446.84/x
  3. Step 3: Cross multiply
    8,129.85x = 12,194.49 × 3,446.84
  4. Step 4: Simplify right side
    8,129.85x = 42,032,455.91
  5. Step 5: Solve for x
    x = 42,032,455.91/8,129.85
  6. Step 6: Final answer
    x = 5,170.14

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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.