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Finding the Fourth Proportional to 7,879.05, 11,822.27 and 3,930.62

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Solution

The fourth proportional to 7,879.05, 11,822.27 and 3,930.62 is: 5,897.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.05 : 11,822.27 = 3,930.62 : x
  2. Step 2: Convert to fraction form
    7,879.05/11,822.27 = 3,930.62/x
  3. Step 3: Cross multiply
    7,879.05x = 11,822.27 × 3,930.62
  4. Step 4: Simplify right side
    7,879.05x = 46,468,772.14
  5. Step 5: Solve for x
    x = 46,468,772.14/7,879.05
  6. Step 6: Final answer
    x = 5,897.76

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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.