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Finding the Fourth Proportional to 3,195.65, 4,793.09 and 855.83

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Solution

The fourth proportional to 3,195.65, 4,793.09 and 855.83 is: 1,283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.65 : 4,793.09 = 855.83 : x
  2. Step 2: Convert to fraction form
    3,195.65/4,793.09 = 855.83/x
  3. Step 3: Cross multiply
    3,195.65x = 4,793.09 × 855.83
  4. Step 4: Simplify right side
    3,195.65x = 4,102,041.97
  5. Step 5: Solve for x
    x = 4,102,041.97/3,195.65
  6. Step 6: Final answer
    x = 1,283.64

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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.