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Finding the Fourth Proportional to 11,734, 17,608.68 and 4,438

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Solution

The fourth proportional to 11,734, 17,608.68 and 4,438 is: 6,659.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,734 : 17,608.68 = 4,438 : x
  2. Step 2: Convert to fraction form
    11,734/17,608.68 = 4,438/x
  3. Step 3: Cross multiply
    11,734x = 17,608.68 × 4,438
  4. Step 4: Simplify right side
    11,734x = 78,147,321.84
  5. Step 5: Solve for x
    x = 78,147,321.84/11,734
  6. Step 6: Final answer
    x = 6,659.90

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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.