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Finding the Fourth Proportional to 8,379.84, 12,571.38 and 3,997.64

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Solution

The fourth proportional to 8,379.84, 12,571.38 and 3,997.64 is: 5,997.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.84 : 12,571.38 = 3,997.64 : x
  2. Step 2: Convert to fraction form
    8,379.84/12,571.38 = 3,997.64/x
  3. Step 3: Cross multiply
    8,379.84x = 12,571.38 × 3,997.64
  4. Step 4: Simplify right side
    8,379.84x = 50,255,851.54
  5. Step 5: Solve for x
    x = 50,255,851.54/8,379.84
  6. Step 6: Final answer
    x = 5,997.23

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1.5x scale

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.