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Finding the Fourth Proportional to 3,424.52, 5,136.77 and 827.45

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Solution

The fourth proportional to 3,424.52, 5,136.77 and 827.45 is: 1,241.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.52 : 5,136.77 = 827.45 : x
  2. Step 2: Convert to fraction form
    3,424.52/5,136.77 = 827.45/x
  3. Step 3: Cross multiply
    3,424.52x = 5,136.77 × 827.45
  4. Step 4: Simplify right side
    3,424.52x = 4,250,420.34
  5. Step 5: Solve for x
    x = 4,250,420.34/3,424.52
  6. Step 6: Final answer
    x = 1,241.17

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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.