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Finding the Fourth Proportional to 2,879.50, 4,319.49 and 827.50

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Solution

The fourth proportional to 2,879.50, 4,319.49 and 827.50 is: 1,241.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.50 : 4,319.49 = 827.50 : x
  2. Step 2: Convert to fraction form
    2,879.50/4,319.49 = 827.50/x
  3. Step 3: Cross multiply
    2,879.50x = 4,319.49 × 827.50
  4. Step 4: Simplify right side
    2,879.50x = 3,574,377.98
  5. Step 5: Solve for x
    x = 3,574,377.98/2,879.50
  6. Step 6: Final answer
    x = 1,241.32

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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.