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Finding the Fourth Proportional to 3,784, 5,218.56 and 2,456.44

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Solution

The fourth proportional to 3,784, 5,218.56 and 2,456.44 is: 3,387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784 : 5,218.56 = 2,456.44 : x
  2. Step 2: Convert to fraction form
    3,784/5,218.56 = 2,456.44/x
  3. Step 3: Cross multiply
    3,784x = 5,218.56 × 2,456.44
  4. Step 4: Simplify right side
    3,784x = 12,819,079.53
  5. Step 5: Solve for x
    x = 12,819,079.53/3,784
  6. Step 6: Final answer
    x = 3,387.71

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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.