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Finding the Fourth Proportional to 4,057.87, 6,086.80 and 979.87

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Solution

The fourth proportional to 4,057.87, 6,086.80 and 979.87 is: 1,469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.87 : 6,086.80 = 979.87 : x
  2. Step 2: Convert to fraction form
    4,057.87/6,086.80 = 979.87/x
  3. Step 3: Cross multiply
    4,057.87x = 6,086.80 × 979.87
  4. Step 4: Simplify right side
    4,057.87x = 5,964,242.28
  5. Step 5: Solve for x
    x = 5,964,242.28/4,057.87
  6. Step 6: Final answer
    x = 1,469.80

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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.