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Finding the Fourth Proportional to 7,879.05, 11,822.21 and 3,202.29

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Solution

The fourth proportional to 7,879.05, 11,822.21 and 3,202.29 is: 4,804.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.05 : 11,822.21 = 3,202.29 : x
  2. Step 2: Convert to fraction form
    7,879.05/11,822.21 = 3,202.29/x
  3. Step 3: Cross multiply
    7,879.05x = 11,822.21 × 3,202.29
  4. Step 4: Simplify right side
    7,879.05x = 37,858,128.85
  5. Step 5: Solve for x
    x = 37,858,128.85/7,879.05
  6. Step 6: Final answer
    x = 4,804.91

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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.