Home / 2,198.16-3,033.60-1,314

Finding the Fourth Proportional to 2,198.16, 3,033.60 and 1,314

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Solution

The fourth proportional to 2,198.16, 3,033.60 and 1,314 is: 1,813.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.16 : 3,033.60 = 1,314 : x
  2. Step 2: Convert to fraction form
    2,198.16/3,033.60 = 1,314/x
  3. Step 3: Cross multiply
    2,198.16x = 3,033.60 × 1,314
  4. Step 4: Simplify right side
    2,198.16x = 3,986,150.40
  5. Step 5: Solve for x
    x = 3,986,150.40/2,198.16
  6. Step 6: Final answer
    x = 1,813.40

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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.