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Finding the Fourth Proportional to 4,839.48, 6,678 and 2,743.56

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Solution

The fourth proportional to 4,839.48, 6,678 and 2,743.56 is: 3,785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,839.48 : 6,678 = 2,743.56 : x
  2. Step 2: Convert to fraction form
    4,839.48/6,678 = 2,743.56/x
  3. Step 3: Cross multiply
    4,839.48x = 6,678 × 2,743.56
  4. Step 4: Simplify right side
    4,839.48x = 18,321,493.68
  5. Step 5: Solve for x
    x = 18,321,493.68/4,839.48
  6. Step 6: Final answer
    x = 3,785.84

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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.