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Finding the Fourth Proportional to 3,198.66, 4,797.78 and 1,966.26

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Solution

The fourth proportional to 3,198.66, 4,797.78 and 1,966.26 is: 2,949.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.66 : 4,797.78 = 1,966.26 : x
  2. Step 2: Convert to fraction form
    3,198.66/4,797.78 = 1,966.26/x
  3. Step 3: Cross multiply
    3,198.66x = 4,797.78 × 1,966.26
  4. Step 4: Simplify right side
    3,198.66x = 9,433,682.90
  5. Step 5: Solve for x
    x = 9,433,682.90/3,198.66
  6. Step 6: Final answer
    x = 2,949.26

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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.