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Finding the Fourth Proportional to 5,682.76, 7,843.28 and 3,198.76

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Solution

The fourth proportional to 5,682.76, 7,843.28 and 3,198.76 is: 4,414.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.76 : 7,843.28 = 3,198.76 : x
  2. Step 2: Convert to fraction form
    5,682.76/7,843.28 = 3,198.76/x
  3. Step 3: Cross multiply
    5,682.76x = 7,843.28 × 3,198.76
  4. Step 4: Simplify right side
    5,682.76x = 25,088,770.33
  5. Step 5: Solve for x
    x = 25,088,770.33/5,682.76
  6. Step 6: Final answer
    x = 4,414.89

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.