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Finding the Fourth Proportional to 9,729.80, 13,422 and 7,367.84

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Solution

The fourth proportional to 9,729.80, 13,422 and 7,367.84 is: 10,163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.80 : 13,422 = 7,367.84 : x
  2. Step 2: Convert to fraction form
    9,729.80/13,422 = 7,367.84/x
  3. Step 3: Cross multiply
    9,729.80x = 13,422 × 7,367.84
  4. Step 4: Simplify right side
    9,729.80x = 98,891,148.48
  5. Step 5: Solve for x
    x = 98,891,148.48/9,729.80
  6. Step 6: Final answer
    x = 10,163.74

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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.