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Finding the Fourth Proportional to 3,857.36, 5,785.08 and 3,164

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Solution

The fourth proportional to 3,857.36, 5,785.08 and 3,164 is: 4,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.36 : 5,785.08 = 3,164 : x
  2. Step 2: Convert to fraction form
    3,857.36/5,785.08 = 3,164/x
  3. Step 3: Cross multiply
    3,857.36x = 5,785.08 × 3,164
  4. Step 4: Simplify right side
    3,857.36x = 18,303,993.12
  5. Step 5: Solve for x
    x = 18,303,993.12/3,857.36
  6. Step 6: Final answer
    x = 4,745.21

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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.