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Finding the Fourth Proportional to 3,195.88, 4,793.82 and 855.90

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Solution

The fourth proportional to 3,195.88, 4,793.82 and 855.90 is: 1,283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.88 : 4,793.82 = 855.90 : x
  2. Step 2: Convert to fraction form
    3,195.88/4,793.82 = 855.90/x
  3. Step 3: Cross multiply
    3,195.88x = 4,793.82 × 855.90
  4. Step 4: Simplify right side
    3,195.88x = 4,103,030.54
  5. Step 5: Solve for x
    x = 4,103,030.54/3,195.88
  6. Step 6: Final answer
    x = 1,283.85

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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.