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Finding the Fourth Proportional to 5,449, 7,519.64 and 2,965

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Solution

The fourth proportional to 5,449, 7,519.64 and 2,965 is: 4,091.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449 : 7,519.64 = 2,965 : x
  2. Step 2: Convert to fraction form
    5,449/7,519.64 = 2,965/x
  3. Step 3: Cross multiply
    5,449x = 7,519.64 × 2,965
  4. Step 4: Simplify right side
    5,449x = 22,295,732.60
  5. Step 5: Solve for x
    x = 22,295,732.60/5,449
  6. Step 6: Final answer
    x = 4,091.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.