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Finding the Fourth Proportional to 13,794, 20,691.04 and 9,143.54

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Solution

The fourth proportional to 13,794, 20,691.04 and 9,143.54 is: 13,715.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794 : 20,691.04 = 9,143.54 : x
  2. Step 2: Convert to fraction form
    13,794/20,691.04 = 9,143.54/x
  3. Step 3: Cross multiply
    13,794x = 20,691.04 × 9,143.54
  4. Step 4: Simplify right side
    13,794x = 189,189,351.88
  5. Step 5: Solve for x
    x = 189,189,351.88/13,794
  6. Step 6: Final answer
    x = 13,715.34

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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.