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Finding the Fourth Proportional to 7,892.38, 11,842.62 and 3,996.89

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Solution

The fourth proportional to 7,892.38, 11,842.62 and 3,996.89 is: 5,997.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.38 : 11,842.62 = 3,996.89 : x
  2. Step 2: Convert to fraction form
    7,892.38/11,842.62 = 3,996.89/x
  3. Step 3: Cross multiply
    7,892.38x = 11,842.62 × 3,996.89
  4. Step 4: Simplify right side
    7,892.38x = 47,333,570.25
  5. Step 5: Solve for x
    x = 47,333,570.25/7,892.38
  6. Step 6: Final answer
    x = 5,997.38

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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.