Home / 2,198.07-3,295.38-1,103.16

Finding the Fourth Proportional to 2,198.07, 3,295.38 and 1,103.16

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Solution

The fourth proportional to 2,198.07, 3,295.38 and 1,103.16 is: 1,653.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.07 : 3,295.38 = 1,103.16 : x
  2. Step 2: Convert to fraction form
    2,198.07/3,295.38 = 1,103.16/x
  3. Step 3: Cross multiply
    2,198.07x = 3,295.38 × 1,103.16
  4. Step 4: Simplify right side
    2,198.07x = 3,635,331.40
  5. Step 5: Solve for x
    x = 3,635,331.40/2,198.07
  6. Step 6: Final answer
    x = 1,653.87

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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.