Home / 2,287.62-3,422.79-2,149.38

Finding the Fourth Proportional to 2,287.62, 3,422.79 and 2,149.38

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Solution

The fourth proportional to 2,287.62, 3,422.79 and 2,149.38 is: 3,215.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.62 : 3,422.79 = 2,149.38 : x
  2. Step 2: Convert to fraction form
    2,287.62/3,422.79 = 2,149.38/x
  3. Step 3: Cross multiply
    2,287.62x = 3,422.79 × 2,149.38
  4. Step 4: Simplify right side
    2,287.62x = 7,356,876.37
  5. Step 5: Solve for x
    x = 7,356,876.37/2,287.62
  6. Step 6: Final answer
    x = 3,215.95

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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.