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Finding the Fourth Proportional to 3,451.92, 5,177.10 and 986.22

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Solution

The fourth proportional to 3,451.92, 5,177.10 and 986.22 is: 1,479.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.92 : 5,177.10 = 986.22 : x
  2. Step 2: Convert to fraction form
    3,451.92/5,177.10 = 986.22/x
  3. Step 3: Cross multiply
    3,451.92x = 5,177.10 × 986.22
  4. Step 4: Simplify right side
    3,451.92x = 5,105,759.56
  5. Step 5: Solve for x
    x = 5,105,759.56/3,451.92
  6. Step 6: Final answer
    x = 1,479.11

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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.