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Finding the Fourth Proportional to 2,144.44, 3,214.81 and 827.47

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Solution

The fourth proportional to 2,144.44, 3,214.81 and 827.47 is: 1,240.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.44 : 3,214.81 = 827.47 : x
  2. Step 2: Convert to fraction form
    2,144.44/3,214.81 = 827.47/x
  3. Step 3: Cross multiply
    2,144.44x = 3,214.81 × 827.47
  4. Step 4: Simplify right side
    2,144.44x = 2,660,158.83
  5. Step 5: Solve for x
    x = 2,660,158.83/2,144.44
  6. Step 6: Final answer
    x = 1,240.49

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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.