Home / 2,198.25-3,297.40-1,027.90

Finding the Fourth Proportional to 2,198.25, 3,297.40 and 1,027.90

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Solution

The fourth proportional to 2,198.25, 3,297.40 and 1,027.90 is: 1,541.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.25 : 3,297.40 = 1,027.90 : x
  2. Step 2: Convert to fraction form
    2,198.25/3,297.40 = 1,027.90/x
  3. Step 3: Cross multiply
    2,198.25x = 3,297.40 × 1,027.90
  4. Step 4: Simplify right side
    2,198.25x = 3,389,399.01
  5. Step 5: Solve for x
    x = 3,389,399.01/2,198.25
  6. Step 6: Final answer
    x = 1,541.86

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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.