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Finding the Fourth Proportional to 2,559.38, 3,837.79 and 827.54

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Solution

The fourth proportional to 2,559.38, 3,837.79 and 827.54 is: 1,240.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.38 : 3,837.79 = 827.54 : x
  2. Step 2: Convert to fraction form
    2,559.38/3,837.79 = 827.54/x
  3. Step 3: Cross multiply
    2,559.38x = 3,837.79 × 827.54
  4. Step 4: Simplify right side
    2,559.38x = 3,175,924.74
  5. Step 5: Solve for x
    x = 3,175,924.74/2,559.38
  6. Step 6: Final answer
    x = 1,240.90

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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.