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Finding the Fourth Proportional to 27,724.60, 41,580.78 and 7,998.88

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Solution

The fourth proportional to 27,724.60, 41,580.78 and 7,998.88 is: 11,996.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,724.60 : 41,580.78 = 7,998.88 : x
  2. Step 2: Convert to fraction form
    27,724.60/41,580.78 = 7,998.88/x
  3. Step 3: Cross multiply
    27,724.60x = 41,580.78 × 7,998.88
  4. Step 4: Simplify right side
    27,724.60x = 332,599,669.53
  5. Step 5: Solve for x
    x = 332,599,669.53/27,724.60
  6. Step 6: Final answer
    x = 11,996.55

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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.