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Finding the Fourth Proportional to 5,544, 7,650.72 and 3,186.09

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Solution

The fourth proportional to 5,544, 7,650.72 and 3,186.09 is: 4,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,544 : 7,650.72 = 3,186.09 : x
  2. Step 2: Convert to fraction form
    5,544/7,650.72 = 3,186.09/x
  3. Step 3: Cross multiply
    5,544x = 7,650.72 × 3,186.09
  4. Step 4: Simplify right side
    5,544x = 24,375,882.48
  5. Step 5: Solve for x
    x = 24,375,882.48/5,544
  6. Step 6: Final answer
    x = 4,396.80

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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.