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Finding the Fourth Proportional to 3,997.71, 5,987.84 and 3,296.50

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Solution

The fourth proportional to 3,997.71, 5,987.84 and 3,296.50 is: 4,937.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.71 : 5,987.84 = 3,296.50 : x
  2. Step 2: Convert to fraction form
    3,997.71/5,987.84 = 3,296.50/x
  3. Step 3: Cross multiply
    3,997.71x = 5,987.84 × 3,296.50
  4. Step 4: Simplify right side
    3,997.71x = 19,738,914.56
  5. Step 5: Solve for x
    x = 19,738,914.56/3,997.71
  6. Step 6: Final answer
    x = 4,937.56

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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.