Home / 2,198.88-3,296.33-811.25

Finding the Fourth Proportional to 2,198.88, 3,296.33 and 811.25

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Solution

The fourth proportional to 2,198.88, 3,296.33 and 811.25 is: 1,216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.88 : 3,296.33 = 811.25 : x
  2. Step 2: Convert to fraction form
    2,198.88/3,296.33 = 811.25/x
  3. Step 3: Cross multiply
    2,198.88x = 3,296.33 × 811.25
  4. Step 4: Simplify right side
    2,198.88x = 2,674,147.71
  5. Step 5: Solve for x
    x = 2,674,147.71/2,198.88
  6. Step 6: Final answer
    x = 1,216.14

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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.