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Finding the Fourth Proportional to 5,449, 7,519.78 and 2,965.16

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Solution

The fourth proportional to 5,449, 7,519.78 and 2,965.16 is: 4,092.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449 : 7,519.78 = 2,965.16 : x
  2. Step 2: Convert to fraction form
    5,449/7,519.78 = 2,965.16/x
  3. Step 3: Cross multiply
    5,449x = 7,519.78 × 2,965.16
  4. Step 4: Simplify right side
    5,449x = 22,297,350.86
  5. Step 5: Solve for x
    x = 22,297,350.86/5,449
  6. Step 6: Final answer
    x = 4,092.01

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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.