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Finding the Fourth Proportional to 8,171.82, 12,254.95 and 2,906.59

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Solution

The fourth proportional to 8,171.82, 12,254.95 and 2,906.59 is: 4,358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.82 : 12,254.95 = 2,906.59 : x
  2. Step 2: Convert to fraction form
    8,171.82/12,254.95 = 2,906.59/x
  3. Step 3: Cross multiply
    8,171.82x = 12,254.95 × 2,906.59
  4. Step 4: Simplify right side
    8,171.82x = 35,620,115.12
  5. Step 5: Solve for x
    x = 35,620,115.12/8,171.82
  6. Step 6: Final answer
    x = 4,358.90

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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.