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Finding the Fourth Proportional to 3,996.97, 5,509.89 and 2,580.55

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Solution

The fourth proportional to 3,996.97, 5,509.89 and 2,580.55 is: 3,557.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.97 : 5,509.89 = 2,580.55 : x
  2. Step 2: Convert to fraction form
    3,996.97/5,509.89 = 2,580.55/x
  3. Step 3: Cross multiply
    3,996.97x = 5,509.89 × 2,580.55
  4. Step 4: Simplify right side
    3,996.97x = 14,218,519.09
  5. Step 5: Solve for x
    x = 14,218,519.09/3,996.97
  6. Step 6: Final answer
    x = 3,557.33

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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.