Home / 2,198.04-3,296.96-811.28

Finding the Fourth Proportional to 2,198.04, 3,296.96 and 811.28

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Solution

The fourth proportional to 2,198.04, 3,296.96 and 811.28 is: 1,216.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.04 : 3,296.96 = 811.28 : x
  2. Step 2: Convert to fraction form
    2,198.04/3,296.96 = 811.28/x
  3. Step 3: Cross multiply
    2,198.04x = 3,296.96 × 811.28
  4. Step 4: Simplify right side
    2,198.04x = 2,674,737.17
  5. Step 5: Solve for x
    x = 2,674,737.17/2,198.04
  6. Step 6: Final answer
    x = 1,216.87

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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.