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Finding the Fourth Proportional to 2,879.92, 4,319.96 and 799.94

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Solution

The fourth proportional to 2,879.92, 4,319.96 and 799.94 is: 1,199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.92 : 4,319.96 = 799.94 : x
  2. Step 2: Convert to fraction form
    2,879.92/4,319.96 = 799.94/x
  3. Step 3: Cross multiply
    2,879.92x = 4,319.96 × 799.94
  4. Step 4: Simplify right side
    2,879.92x = 3,455,708.80
  5. Step 5: Solve for x
    x = 3,455,708.80/2,879.92
  6. Step 6: Final answer
    x = 1,199.93

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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.