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Finding the Fourth Proportional to 3,195.96, 4,793.72 and 855.96

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Solution

The fourth proportional to 3,195.96, 4,793.72 and 855.96 is: 1,283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.96 : 4,793.72 = 855.96 : x
  2. Step 2: Convert to fraction form
    3,195.96/4,793.72 = 855.96/x
  3. Step 3: Cross multiply
    3,195.96x = 4,793.72 × 855.96
  4. Step 4: Simplify right side
    3,195.96x = 4,103,232.57
  5. Step 5: Solve for x
    x = 4,103,232.57/3,195.96
  6. Step 6: Final answer
    x = 1,283.88

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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.