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Finding the Fourth Proportional to 13,791.24, 20,767.98 and 9,922.68

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Solution

The fourth proportional to 13,791.24, 20,767.98 and 9,922.68 is: 14,942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.24 : 20,767.98 = 9,922.68 : x
  2. Step 2: Convert to fraction form
    13,791.24/20,767.98 = 9,922.68/x
  3. Step 3: Cross multiply
    13,791.24x = 20,767.98 × 9,922.68
  4. Step 4: Simplify right side
    13,791.24x = 206,074,019.79
  5. Step 5: Solve for x
    x = 206,074,019.79/13,791.24
  6. Step 6: Final answer
    x = 14,942.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.