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Finding the Fourth Proportional to 3,920.10, 5,879.64 and 998.22

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Solution

The fourth proportional to 3,920.10, 5,879.64 and 998.22 is: 1,497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.10 : 5,879.64 = 998.22 : x
  2. Step 2: Convert to fraction form
    3,920.10/5,879.64 = 998.22/x
  3. Step 3: Cross multiply
    3,920.10x = 5,879.64 × 998.22
  4. Step 4: Simplify right side
    3,920.10x = 5,869,174.24
  5. Step 5: Solve for x
    x = 5,869,174.24/3,920.10
  6. Step 6: Final answer
    x = 1,497.20

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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.