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Finding the Fourth Proportional to 4,839.21, 6,678 and 2,849.85

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Solution

The fourth proportional to 4,839.21, 6,678 and 2,849.85 is: 3,932.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,839.21 : 6,678 = 2,849.85 : x
  2. Step 2: Convert to fraction form
    4,839.21/6,678 = 2,849.85/x
  3. Step 3: Cross multiply
    4,839.21x = 6,678 × 2,849.85
  4. Step 4: Simplify right side
    4,839.21x = 19,031,298.30
  5. Step 5: Solve for x
    x = 19,031,298.30/4,839.21
  6. Step 6: Final answer
    x = 3,932.73

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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.