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Finding the Fourth Proportional to 3,424.84, 5,137.21 and 827.75

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Solution

The fourth proportional to 3,424.84, 5,137.21 and 827.75 is: 1,241.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.84 : 5,137.21 = 827.75 : x
  2. Step 2: Convert to fraction form
    3,424.84/5,137.21 = 827.75/x
  3. Step 3: Cross multiply
    3,424.84x = 5,137.21 × 827.75
  4. Step 4: Simplify right side
    3,424.84x = 4,252,325.58
  5. Step 5: Solve for x
    x = 4,252,325.58/3,424.84
  6. Step 6: Final answer
    x = 1,241.61

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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.