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Finding the Fourth Proportional to 3,424.78, 5,137.18 and 827.72

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Solution

The fourth proportional to 3,424.78, 5,137.18 and 827.72 is: 1,241.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.78 : 5,137.18 = 827.72 : x
  2. Step 2: Convert to fraction form
    3,424.78/5,137.18 = 827.72/x
  3. Step 3: Cross multiply
    3,424.78x = 5,137.18 × 827.72
  4. Step 4: Simplify right side
    3,424.78x = 4,252,146.63
  5. Step 5: Solve for x
    x = 4,252,146.63/3,424.78
  6. Step 6: Final answer
    x = 1,241.58

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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.