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Finding the Fourth Proportional to 3,936, 5,431.68 and 2,167.60

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Solution

The fourth proportional to 3,936, 5,431.68 and 2,167.60 is: 2,991.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936 : 5,431.68 = 2,167.60 : x
  2. Step 2: Convert to fraction form
    3,936/5,431.68 = 2,167.60/x
  3. Step 3: Cross multiply
    3,936x = 5,431.68 × 2,167.60
  4. Step 4: Simplify right side
    3,936x = 11,773,709.57
  5. Step 5: Solve for x
    x = 11,773,709.57/3,936
  6. Step 6: Final answer
    x = 2,991.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.