Home / 2,198.93-3,296.09-811.38

Finding the Fourth Proportional to 2,198.93, 3,296.09 and 811.38

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Solution

The fourth proportional to 2,198.93, 3,296.09 and 811.38 is: 1,216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.93 : 3,296.09 = 811.38 : x
  2. Step 2: Convert to fraction form
    2,198.93/3,296.09 = 811.38/x
  3. Step 3: Cross multiply
    2,198.93x = 3,296.09 × 811.38
  4. Step 4: Simplify right side
    2,198.93x = 2,674,377.45
  5. Step 5: Solve for x
    x = 2,674,377.45/2,198.93
  6. Step 6: Final answer
    x = 1,216.22

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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.