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Finding the Fourth Proportional to 3,195.66, 4,793.12 and 855.86

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Solution

The fourth proportional to 3,195.66, 4,793.12 and 855.86 is: 1,283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.66 : 4,793.12 = 855.86 : x
  2. Step 2: Convert to fraction form
    3,195.66/4,793.12 = 855.86/x
  3. Step 3: Cross multiply
    3,195.66x = 4,793.12 × 855.86
  4. Step 4: Simplify right side
    3,195.66x = 4,102,239.68
  5. Step 5: Solve for x
    x = 4,102,239.68/3,195.66
  6. Step 6: Final answer
    x = 1,283.69

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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.