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Finding the Fourth Proportional to 7,234, 9,982.96 and 3,922

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Solution

The fourth proportional to 7,234, 9,982.96 and 3,922 is: 5,412.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234 : 9,982.96 = 3,922 : x
  2. Step 2: Convert to fraction form
    7,234/9,982.96 = 3,922/x
  3. Step 3: Cross multiply
    7,234x = 9,982.96 × 3,922
  4. Step 4: Simplify right side
    7,234x = 39,153,169.12
  5. Step 5: Solve for x
    x = 39,153,169.12/7,234
  6. Step 6: Final answer
    x = 5,412.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.