Home / 1,198.26-1,805.72-1,142.64

Finding the Fourth Proportional to 1,198.26, 1,805.72 and 1,142.64

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Solution

The fourth proportional to 1,198.26, 1,805.72 and 1,142.64 is: 1,721.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.26 : 1,805.72 = 1,142.64 : x
  2. Step 2: Convert to fraction form
    1,198.26/1,805.72 = 1,142.64/x
  3. Step 3: Cross multiply
    1,198.26x = 1,805.72 × 1,142.64
  4. Step 4: Simplify right side
    1,198.26x = 2,063,282.19
  5. Step 5: Solve for x
    x = 2,063,282.19/1,198.26
  6. Step 6: Final answer
    x = 1,721.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.