Home / 2,191.38-3,287.16-805.02

Finding the Fourth Proportional to 2,191.38, 3,287.16 and 805.02

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Solution

The fourth proportional to 2,191.38, 3,287.16 and 805.02 is: 1,207.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.38 : 3,287.16 = 805.02 : x
  2. Step 2: Convert to fraction form
    2,191.38/3,287.16 = 805.02/x
  3. Step 3: Cross multiply
    2,191.38x = 3,287.16 × 805.02
  4. Step 4: Simplify right side
    2,191.38x = 2,646,229.54
  5. Step 5: Solve for x
    x = 2,646,229.54/2,191.38
  6. Step 6: Final answer
    x = 1,207.56

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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.