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Finding the Fourth Proportional to 20,540.98, 30,813.09 and 7,394.68

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Solution

The fourth proportional to 20,540.98, 30,813.09 and 7,394.68 is: 11,092.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,540.98 : 30,813.09 = 7,394.68 : x
  2. Step 2: Convert to fraction form
    20,540.98/30,813.09 = 7,394.68/x
  3. Step 3: Cross multiply
    20,540.98x = 30,813.09 × 7,394.68
  4. Step 4: Simplify right side
    20,540.98x = 227,852,940.36
  5. Step 5: Solve for x
    x = 227,852,940.36/20,540.98
  6. Step 6: Final answer
    x = 11,092.60

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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.