Home / 2,144.12-3,215.75-827.87

Finding the Fourth Proportional to 2,144.12, 3,215.75 and 827.87

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Solution

The fourth proportional to 2,144.12, 3,215.75 and 827.87 is: 1,241.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.12 : 3,215.75 = 827.87 : x
  2. Step 2: Convert to fraction form
    2,144.12/3,215.75 = 827.87/x
  3. Step 3: Cross multiply
    2,144.12x = 3,215.75 × 827.87
  4. Step 4: Simplify right side
    2,144.12x = 2,662,202.73
  5. Step 5: Solve for x
    x = 2,662,202.73/2,144.12
  6. Step 6: Final answer
    x = 1,241.63

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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.