Home / 2,142.14-3,213.66-825.86

Finding the Fourth Proportional to 2,142.14, 3,213.66 and 825.86

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Solution

The fourth proportional to 2,142.14, 3,213.66 and 825.86 is: 1,238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.14 : 3,213.66 = 825.86 : x
  2. Step 2: Convert to fraction form
    2,142.14/3,213.66 = 825.86/x
  3. Step 3: Cross multiply
    2,142.14x = 3,213.66 × 825.86
  4. Step 4: Simplify right side
    2,142.14x = 2,654,033.25
  5. Step 5: Solve for x
    x = 2,654,033.25/2,142.14
  6. Step 6: Final answer
    x = 1,238.96

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1.5x scale

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.