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Finding the Fourth Proportional to 7,843.99, 11,769.05 and 3,458.37

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Solution

The fourth proportional to 7,843.99, 11,769.05 and 3,458.37 is: 5,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.99 : 11,769.05 = 3,458.37 : x
  2. Step 2: Convert to fraction form
    7,843.99/11,769.05 = 3,458.37/x
  3. Step 3: Cross multiply
    7,843.99x = 11,769.05 × 3,458.37
  4. Step 4: Simplify right side
    7,843.99x = 40,701,653.31
  5. Step 5: Solve for x
    x = 40,701,653.31/7,843.99
  6. Step 6: Final answer
    x = 5,188.90

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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.