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Finding the Fourth Proportional to 3,997.84, 5,995 and 1,806.48

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Solution

The fourth proportional to 3,997.84, 5,995 and 1,806.48 is: 2,708.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.84 : 5,995 = 1,806.48 : x
  2. Step 2: Convert to fraction form
    3,997.84/5,995 = 1,806.48/x
  3. Step 3: Cross multiply
    3,997.84x = 5,995 × 1,806.48
  4. Step 4: Simplify right side
    3,997.84x = 10,829,847.60
  5. Step 5: Solve for x
    x = 10,829,847.60/3,997.84
  6. Step 6: Final answer
    x = 2,708.92

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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.