Home / 2,138.26-3,209.19-2,122.06

Finding the Fourth Proportional to 2,138.26, 3,209.19 and 2,122.06

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Solution

The fourth proportional to 2,138.26, 3,209.19 and 2,122.06 is: 3,184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.26 : 3,209.19 = 2,122.06 : x
  2. Step 2: Convert to fraction form
    2,138.26/3,209.19 = 2,122.06/x
  3. Step 3: Cross multiply
    2,138.26x = 3,209.19 × 2,122.06
  4. Step 4: Simplify right side
    2,138.26x = 6,810,093.73
  5. Step 5: Solve for x
    x = 6,810,093.73/2,138.26
  6. Step 6: Final answer
    x = 3,184.88

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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.