Home / 2,122.11-3,182.16-806.11

Finding the Fourth Proportional to 2,122.11, 3,182.16 and 806.11

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Solution

The fourth proportional to 2,122.11, 3,182.16 and 806.11 is: 1,208.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.11 : 3,182.16 = 806.11 : x
  2. Step 2: Convert to fraction form
    2,122.11/3,182.16 = 806.11/x
  3. Step 3: Cross multiply
    2,122.11x = 3,182.16 × 806.11
  4. Step 4: Simplify right side
    2,122.11x = 2,565,171.00
  5. Step 5: Solve for x
    x = 2,565,171.00/2,122.11
  6. Step 6: Final answer
    x = 1,208.78

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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.