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Finding the Fourth Proportional to 20,489.25, 30,738.75 and 6,638.25

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Solution

The fourth proportional to 20,489.25, 30,738.75 and 6,638.25 is: 9,958.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,489.25 : 30,738.75 = 6,638.25 : x
  2. Step 2: Convert to fraction form
    20,489.25/30,738.75 = 6,638.25/x
  3. Step 3: Cross multiply
    20,489.25x = 30,738.75 × 6,638.25
  4. Step 4: Simplify right side
    20,489.25x = 204,051,507.19
  5. Step 5: Solve for x
    x = 204,051,507.19/20,489.25
  6. Step 6: Final answer
    x = 9,958.95

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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.