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Finding the Fourth Proportional to 3,996.88, 5,964.05 and 3,581.80

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Solution

The fourth proportional to 3,996.88, 5,964.05 and 3,581.80 is: 5,344.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.88 : 5,964.05 = 3,581.80 : x
  2. Step 2: Convert to fraction form
    3,996.88/5,964.05 = 3,581.80/x
  3. Step 3: Cross multiply
    3,996.88x = 5,964.05 × 3,581.80
  4. Step 4: Simplify right side
    3,996.88x = 21,362,034.29
  5. Step 5: Solve for x
    x = 21,362,034.29/3,996.88
  6. Step 6: Final answer
    x = 5,344.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.