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Finding the Fourth Proportional to 6,344.78, 9,519.43 and 2,834.47

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Solution

The fourth proportional to 6,344.78, 9,519.43 and 2,834.47 is: 4,252.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.78 : 9,519.43 = 2,834.47 : x
  2. Step 2: Convert to fraction form
    6,344.78/9,519.43 = 2,834.47/x
  3. Step 3: Cross multiply
    6,344.78x = 9,519.43 × 2,834.47
  4. Step 4: Simplify right side
    6,344.78x = 26,982,507.87
  5. Step 5: Solve for x
    x = 26,982,507.87/6,344.78
  6. Step 6: Final answer
    x = 4,252.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.