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Finding the Fourth Proportional to 3,936.64, 5,905.60 and 1,200

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Solution

The fourth proportional to 3,936.64, 5,905.60 and 1,200 is: 1,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936.64 : 5,905.60 = 1,200 : x
  2. Step 2: Convert to fraction form
    3,936.64/5,905.60 = 1,200/x
  3. Step 3: Cross multiply
    3,936.64x = 5,905.60 × 1,200
  4. Step 4: Simplify right side
    3,936.64x = 7,086,720
  5. Step 5: Solve for x
    x = 7,086,720/3,936.64
  6. Step 6: Final answer
    x = 1,800.20

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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.