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Finding the Fourth Proportional to 3,997.80, 5,967.09 and 3,751.56

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Solution

The fourth proportional to 3,997.80, 5,967.09 and 3,751.56 is: 5,599.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.80 : 5,967.09 = 3,751.56 : x
  2. Step 2: Convert to fraction form
    3,997.80/5,967.09 = 3,751.56/x
  3. Step 3: Cross multiply
    3,997.80x = 5,967.09 × 3,751.56
  4. Step 4: Simplify right side
    3,997.80x = 22,385,896.16
  5. Step 5: Solve for x
    x = 22,385,896.16/3,997.80
  6. Step 6: Final answer
    x = 5,599.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.