Home / 2,198.91-3,297.70-1,198.10

Finding the Fourth Proportional to 2,198.91, 3,297.70 and 1,198.10

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Solution

The fourth proportional to 2,198.91, 3,297.70 and 1,198.10 is: 1,796.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.91 : 3,297.70 = 1,198.10 : x
  2. Step 2: Convert to fraction form
    2,198.91/3,297.70 = 1,198.10/x
  3. Step 3: Cross multiply
    2,198.91x = 3,297.70 × 1,198.10
  4. Step 4: Simplify right side
    2,198.91x = 3,950,974.37
  5. Step 5: Solve for x
    x = 3,950,974.37/2,198.91
  6. Step 6: Final answer
    x = 1,796.79

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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.