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Finding the Fourth Proportional to 7,481.34, 11,222.78 and 3,322.31

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Solution

The fourth proportional to 7,481.34, 11,222.78 and 3,322.31 is: 4,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,481.34 : 11,222.78 = 3,322.31 : x
  2. Step 2: Convert to fraction form
    7,481.34/11,222.78 = 3,322.31/x
  3. Step 3: Cross multiply
    7,481.34x = 11,222.78 × 3,322.31
  4. Step 4: Simplify right side
    7,481.34x = 37,285,481.50
  5. Step 5: Solve for x
    x = 37,285,481.50/7,481.34
  6. Step 6: Final answer
    x = 4,983.80

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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.