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Finding the Fourth Proportional to 3,919.82, 5,879.79 and 998.18

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Solution

The fourth proportional to 3,919.82, 5,879.79 and 998.18 is: 1,497.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.82 : 5,879.79 = 998.18 : x
  2. Step 2: Convert to fraction form
    3,919.82/5,879.79 = 998.18/x
  3. Step 3: Cross multiply
    3,919.82x = 5,879.79 × 998.18
  4. Step 4: Simplify right side
    3,919.82x = 5,869,088.78
  5. Step 5: Solve for x
    x = 5,869,088.78/3,919.82
  6. Step 6: Final answer
    x = 1,497.29

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Half scale
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Double scale
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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.