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Finding the Fourth Proportional to 13,942.14, 20,920.37 and 9,265.37

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Solution

The fourth proportional to 13,942.14, 20,920.37 and 9,265.37 is: 13,902.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,942.14 : 20,920.37 = 9,265.37 : x
  2. Step 2: Convert to fraction form
    13,942.14/20,920.37 = 9,265.37/x
  3. Step 3: Cross multiply
    13,942.14x = 20,920.37 × 9,265.37
  4. Step 4: Simplify right side
    13,942.14x = 193,834,817.66
  5. Step 5: Solve for x
    x = 193,834,817.66/13,942.14
  6. Step 6: Final answer
    x = 13,902.80

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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.