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Finding the Fourth Proportional to 3,198.20, 4,796.97 and 858.46

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Solution

The fourth proportional to 3,198.20, 4,796.97 and 858.46 is: 1,287.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.20 : 4,796.97 = 858.46 : x
  2. Step 2: Convert to fraction form
    3,198.20/4,796.97 = 858.46/x
  3. Step 3: Cross multiply
    3,198.20x = 4,796.97 × 858.46
  4. Step 4: Simplify right side
    3,198.20x = 4,117,979.66
  5. Step 5: Solve for x
    x = 4,117,979.66/3,198.20
  6. Step 6: Final answer
    x = 1,287.59

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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.