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Finding the Fourth Proportional to 20,506.67, 30,736.01 and 9,414.43

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Solution

The fourth proportional to 20,506.67, 30,736.01 and 9,414.43 is: 14,110.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.67 : 30,736.01 = 9,414.43 : x
  2. Step 2: Convert to fraction form
    20,506.67/30,736.01 = 9,414.43/x
  3. Step 3: Cross multiply
    20,506.67x = 30,736.01 × 9,414.43
  4. Step 4: Simplify right side
    20,506.67x = 289,362,076.58
  5. Step 5: Solve for x
    x = 289,362,076.58/20,506.67
  6. Step 6: Final answer
    x = 14,110.63

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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.