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Finding the Fourth Proportional to 3,198.72, 4,796.46 and 1,347.87

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Solution

The fourth proportional to 3,198.72, 4,796.46 and 1,347.87 is: 2,021.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.72 : 4,796.46 = 1,347.87 : x
  2. Step 2: Convert to fraction form
    3,198.72/4,796.46 = 1,347.87/x
  3. Step 3: Cross multiply
    3,198.72x = 4,796.46 × 1,347.87
  4. Step 4: Simplify right side
    3,198.72x = 6,465,004.54
  5. Step 5: Solve for x
    x = 6,465,004.54/3,198.72
  6. Step 6: Final answer
    x = 2,021.12

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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.