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Finding the Fourth Proportional to 20,195.82, 30,294 and 11,431.62

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Solution

The fourth proportional to 20,195.82, 30,294 and 11,431.62 is: 17,147.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,195.82 : 30,294 = 11,431.62 : x
  2. Step 2: Convert to fraction form
    20,195.82/30,294 = 11,431.62/x
  3. Step 3: Cross multiply
    20,195.82x = 30,294 × 11,431.62
  4. Step 4: Simplify right side
    20,195.82x = 346,309,496.28
  5. Step 5: Solve for x
    x = 346,309,496.28/20,195.82
  6. Step 6: Final answer
    x = 17,147.58

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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.