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Finding the Fourth Proportional to 9,120.80, 13,682 and 6,685.92

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Solution

The fourth proportional to 9,120.80, 13,682 and 6,685.92 is: 10,029.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120.80 : 13,682 = 6,685.92 : x
  2. Step 2: Convert to fraction form
    9,120.80/13,682 = 6,685.92/x
  3. Step 3: Cross multiply
    9,120.80x = 13,682 × 6,685.92
  4. Step 4: Simplify right side
    9,120.80x = 91,476,757.44
  5. Step 5: Solve for x
    x = 91,476,757.44/9,120.80
  6. Step 6: Final answer
    x = 10,029.47

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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.