Home / 2,198.57-3,296.72-1,159.13

Finding the Fourth Proportional to 2,198.57, 3,296.72 and 1,159.13

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Solution

The fourth proportional to 2,198.57, 3,296.72 and 1,159.13 is: 1,738.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.57 : 3,296.72 = 1,159.13 : x
  2. Step 2: Convert to fraction form
    2,198.57/3,296.72 = 1,159.13/x
  3. Step 3: Cross multiply
    2,198.57x = 3,296.72 × 1,159.13
  4. Step 4: Simplify right side
    2,198.57x = 3,821,338.19
  5. Step 5: Solve for x
    x = 3,821,338.19/2,198.57
  6. Step 6: Final answer
    x = 1,738.11

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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.