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Finding the Fourth Proportional to 13,825.22, 20,743.94 and 7,249.84

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Solution

The fourth proportional to 13,825.22, 20,743.94 and 7,249.84 is: 10,877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.22 : 20,743.94 = 7,249.84 : x
  2. Step 2: Convert to fraction form
    13,825.22/20,743.94 = 7,249.84/x
  3. Step 3: Cross multiply
    13,825.22x = 20,743.94 × 7,249.84
  4. Step 4: Simplify right side
    13,825.22x = 150,390,212.23
  5. Step 5: Solve for x
    x = 150,390,212.23/13,825.22
  6. Step 6: Final answer
    x = 10,877.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.