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Finding the Fourth Proportional to 2,077.87, 3,115.41 and 827.64

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Solution

The fourth proportional to 2,077.87, 3,115.41 and 827.64 is: 1,240.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.87 : 3,115.41 = 827.64 : x
  2. Step 2: Convert to fraction form
    2,077.87/3,115.41 = 827.64/x
  3. Step 3: Cross multiply
    2,077.87x = 3,115.41 × 827.64
  4. Step 4: Simplify right side
    2,077.87x = 2,578,422.36
  5. Step 5: Solve for x
    x = 2,578,422.36/2,077.87
  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.