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Finding the Fourth Proportional to 4,057.82, 6,086.73 and 979.82

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Solution

The fourth proportional to 4,057.82, 6,086.73 and 979.82 is: 1,469.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.82 : 6,086.73 = 979.82 : x
  2. Step 2: Convert to fraction form
    4,057.82/6,086.73 = 979.82/x
  3. Step 3: Cross multiply
    4,057.82x = 6,086.73 × 979.82
  4. Step 4: Simplify right side
    4,057.82x = 5,963,869.35
  5. Step 5: Solve for x
    x = 5,963,869.35/4,057.82
  6. Step 6: Final answer
    x = 1,469.72

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Similar ratio
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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.