Home / 2,144.15-3,215.54-827.80

Finding the Fourth Proportional to 2,144.15, 3,215.54 and 827.80

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Solution

The fourth proportional to 2,144.15, 3,215.54 and 827.80 is: 1,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.15 : 3,215.54 = 827.80 : x
  2. Step 2: Convert to fraction form
    2,144.15/3,215.54 = 827.80/x
  3. Step 3: Cross multiply
    2,144.15x = 3,215.54 × 827.80
  4. Step 4: Simplify right side
    2,144.15x = 2,661,818.04
  5. Step 5: Solve for x
    x = 2,661,818.04/2,144.15
  6. Step 6: Final answer
    x = 1,241.44

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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.