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Finding the Fourth Proportional to 7,879.80, 11,822.40 and 3,500.40

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Solution

The fourth proportional to 7,879.80, 11,822.40 and 3,500.40 is: 5,251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.80 : 11,822.40 = 3,500.40 : x
  2. Step 2: Convert to fraction form
    7,879.80/11,822.40 = 3,500.40/x
  3. Step 3: Cross multiply
    7,879.80x = 11,822.40 × 3,500.40
  4. Step 4: Simplify right side
    7,879.80x = 41,383,128.96
  5. Step 5: Solve for x
    x = 41,383,128.96/7,879.80
  6. Step 6: Final answer
    x = 5,251.80

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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.