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Finding the Fourth Proportional to 8,182.59, 12,278.82 and 2,917.20

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Solution

The fourth proportional to 8,182.59, 12,278.82 and 2,917.20 is: 4,377.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.59 : 12,278.82 = 2,917.20 : x
  2. Step 2: Convert to fraction form
    8,182.59/12,278.82 = 2,917.20/x
  3. Step 3: Cross multiply
    8,182.59x = 12,278.82 × 2,917.20
  4. Step 4: Simplify right side
    8,182.59x = 35,819,761.62
  5. Step 5: Solve for x
    x = 35,819,761.62/8,182.59
  6. Step 6: Final answer
    x = 4,377.56

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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.