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Finding the Fourth Proportional to 3,395, 5,078.42 and 3,187.64

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Solution

The fourth proportional to 3,395, 5,078.42 and 3,187.64 is: 4,768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,395 : 5,078.42 = 3,187.64 : x
  2. Step 2: Convert to fraction form
    3,395/5,078.42 = 3,187.64/x
  3. Step 3: Cross multiply
    3,395x = 5,078.42 × 3,187.64
  4. Step 4: Simplify right side
    3,395x = 16,188,174.73
  5. Step 5: Solve for x
    x = 16,188,174.73/3,395
  6. Step 6: Final answer
    x = 4,768.24

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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.