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Finding the Fourth Proportional to 9,934, 13,708.92 and 5,518

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Solution

The fourth proportional to 9,934, 13,708.92 and 5,518 is: 7,614.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934 : 13,708.92 = 5,518 : x
  2. Step 2: Convert to fraction form
    9,934/13,708.92 = 5,518/x
  3. Step 3: Cross multiply
    9,934x = 13,708.92 × 5,518
  4. Step 4: Simplify right side
    9,934x = 75,645,820.56
  5. Step 5: Solve for x
    x = 75,645,820.56/9,934
  6. Step 6: Final answer
    x = 7,614.84

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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.