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Finding the Fourth Proportional to 7,768.67, 11,654.96 and 2,222.48

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Solution

The fourth proportional to 7,768.67, 11,654.96 and 2,222.48 is: 3,334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.67 : 11,654.96 = 2,222.48 : x
  2. Step 2: Convert to fraction form
    7,768.67/11,654.96 = 2,222.48/x
  3. Step 3: Cross multiply
    7,768.67x = 11,654.96 × 2,222.48
  4. Step 4: Simplify right side
    7,768.67x = 25,902,933.53
  5. Step 5: Solve for x
    x = 25,902,933.53/7,768.67
  6. Step 6: Final answer
    x = 3,334.28

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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.