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Finding the Fourth Proportional to 19,684, 27,163.92 and 12,611.79

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Solution

The fourth proportional to 19,684, 27,163.92 and 12,611.79 is: 17,404.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684 : 27,163.92 = 12,611.79 : x
  2. Step 2: Convert to fraction form
    19,684/27,163.92 = 12,611.79/x
  3. Step 3: Cross multiply
    19,684x = 27,163.92 × 12,611.79
  4. Step 4: Simplify right side
    19,684x = 342,585,654.62
  5. Step 5: Solve for x
    x = 342,585,654.62/19,684
  6. Step 6: Final answer
    x = 17,404.27

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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.