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Finding the Fourth Proportional to 13,922.73, 19,212.12 and 7,954.38

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Solution

The fourth proportional to 13,922.73, 19,212.12 and 7,954.38 is: 10,976.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,922.73 : 19,212.12 = 7,954.38 : x
  2. Step 2: Convert to fraction form
    13,922.73/19,212.12 = 7,954.38/x
  3. Step 3: Cross multiply
    13,922.73x = 19,212.12 × 7,954.38
  4. Step 4: Simplify right side
    13,922.73x = 152,820,503.09
  5. Step 5: Solve for x
    x = 152,820,503.09/13,922.73
  6. Step 6: Final answer
    x = 10,976.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.