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Finding the Fourth Proportional to 8,012.25, 12,016.89 and 2,168.10

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Solution

The fourth proportional to 8,012.25, 12,016.89 and 2,168.10 is: 3,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.25 : 12,016.89 = 2,168.10 : x
  2. Step 2: Convert to fraction form
    8,012.25/12,016.89 = 2,168.10/x
  3. Step 3: Cross multiply
    8,012.25x = 12,016.89 × 2,168.10
  4. Step 4: Simplify right side
    8,012.25x = 26,053,819.21
  5. Step 5: Solve for x
    x = 26,053,819.21/8,012.25
  6. Step 6: Final answer
    x = 3,251.75

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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.