Home / 2,198.96-3,299.35-1,028.10

Finding the Fourth Proportional to 2,198.96, 3,299.35 and 1,028.10

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Solution

The fourth proportional to 2,198.96, 3,299.35 and 1,028.10 is: 1,542.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.96 : 3,299.35 = 1,028.10 : x
  2. Step 2: Convert to fraction form
    2,198.96/3,299.35 = 1,028.10/x
  3. Step 3: Cross multiply
    2,198.96x = 3,299.35 × 1,028.10
  4. Step 4: Simplify right side
    2,198.96x = 3,392,061.74
  5. Step 5: Solve for x
    x = 3,392,061.74/2,198.96
  6. Step 6: Final answer
    x = 1,542.58

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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.