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Finding the Fourth Proportional to 3,839.05, 5,757.69 and 1,499.11

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Solution

The fourth proportional to 3,839.05, 5,757.69 and 1,499.11 is: 2,248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.05 : 5,757.69 = 1,499.11 : x
  2. Step 2: Convert to fraction form
    3,839.05/5,757.69 = 1,499.11/x
  3. Step 3: Cross multiply
    3,839.05x = 5,757.69 × 1,499.11
  4. Step 4: Simplify right side
    3,839.05x = 8,631,410.66
  5. Step 5: Solve for x
    x = 8,631,410.66/3,839.05
  6. Step 6: Final answer
    x = 2,248.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.