Home / 2,198.23-3,298.56-900.61

Finding the Fourth Proportional to 2,198.23, 3,298.56 and 900.61

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Solution

The fourth proportional to 2,198.23, 3,298.56 and 900.61 is: 1,351.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.23 : 3,298.56 = 900.61 : x
  2. Step 2: Convert to fraction form
    2,198.23/3,298.56 = 900.61/x
  3. Step 3: Cross multiply
    2,198.23x = 3,298.56 × 900.61
  4. Step 4: Simplify right side
    2,198.23x = 2,970,716.12
  5. Step 5: Solve for x
    x = 2,970,716.12/2,198.23
  6. Step 6: Final answer
    x = 1,351.41

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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.