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Finding the Fourth Proportional to 3,923.76, 5,391.74 and 3,136.44

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Solution

The fourth proportional to 3,923.76, 5,391.74 and 3,136.44 is: 4,309.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.76 : 5,391.74 = 3,136.44 : x
  2. Step 2: Convert to fraction form
    3,923.76/5,391.74 = 3,136.44/x
  3. Step 3: Cross multiply
    3,923.76x = 5,391.74 × 3,136.44
  4. Step 4: Simplify right side
    3,923.76x = 16,910,853.32
  5. Step 5: Solve for x
    x = 16,910,853.32/3,923.76
  6. Step 6: Final answer
    x = 4,309.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.