Home / 2,198.68-3,033.80-1,314.56

Finding the Fourth Proportional to 2,198.68, 3,033.80 and 1,314.56

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Solution

The fourth proportional to 2,198.68, 3,033.80 and 1,314.56 is: 1,813.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.68 : 3,033.80 = 1,314.56 : x
  2. Step 2: Convert to fraction form
    2,198.68/3,033.80 = 1,314.56/x
  3. Step 3: Cross multiply
    2,198.68x = 3,033.80 × 1,314.56
  4. Step 4: Simplify right side
    2,198.68x = 3,988,112.13
  5. Step 5: Solve for x
    x = 3,988,112.13/2,198.68
  6. Step 6: Final answer
    x = 1,813.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.