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Finding the Fourth Proportional to 3,857.21, 5,785.78 and 935.49

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Solution

The fourth proportional to 3,857.21, 5,785.78 and 935.49 is: 1,403.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.21 : 5,785.78 = 935.49 : x
  2. Step 2: Convert to fraction form
    3,857.21/5,785.78 = 935.49/x
  3. Step 3: Cross multiply
    3,857.21x = 5,785.78 × 935.49
  4. Step 4: Simplify right side
    3,857.21x = 5,412,539.33
  5. Step 5: Solve for x
    x = 5,412,539.33/3,857.21
  6. Step 6: Final answer
    x = 1,403.23

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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.