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Finding the Fourth Proportional to 3,857.64, 5,786.44 and 935.96

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Solution

The fourth proportional to 3,857.64, 5,786.44 and 935.96 is: 1,403.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.64 : 5,786.44 = 935.96 : x
  2. Step 2: Convert to fraction form
    3,857.64/5,786.44 = 935.96/x
  3. Step 3: Cross multiply
    3,857.64x = 5,786.44 × 935.96
  4. Step 4: Simplify right side
    3,857.64x = 5,415,876.38
  5. Step 5: Solve for x
    x = 5,415,876.38/3,857.64
  6. Step 6: Final answer
    x = 1,403.94

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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.