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Finding the Fourth Proportional to 27,838.54, 38,365.66 and 19,772.54

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Solution

The fourth proportional to 27,838.54, 38,365.66 and 19,772.54 is: 27,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838.54 : 38,365.66 = 19,772.54 : x
  2. Step 2: Convert to fraction form
    27,838.54/38,365.66 = 19,772.54/x
  3. Step 3: Cross multiply
    27,838.54x = 38,365.66 × 19,772.54
  4. Step 4: Simplify right side
    27,838.54x = 758,586,546.98
  5. Step 5: Solve for x
    x = 758,586,546.98/27,838.54
  6. Step 6: Final answer
    x = 27,249.51

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