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Finding the Fourth Proportional to 8,414.84, 12,614.92 and 3,481.40

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Solution

The fourth proportional to 8,414.84, 12,614.92 and 3,481.40 is: 5,219.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.84 : 12,614.92 = 3,481.40 : x
  2. Step 2: Convert to fraction form
    8,414.84/12,614.92 = 3,481.40/x
  3. Step 3: Cross multiply
    8,414.84x = 12,614.92 × 3,481.40
  4. Step 4: Simplify right side
    8,414.84x = 43,917,582.49
  5. Step 5: Solve for x
    x = 43,917,582.49/8,414.84
  6. Step 6: Final answer
    x = 5,219.06

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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.