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Finding the Fourth Proportional to 3,969.44, 5,954.16 and 1,916

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Solution

The fourth proportional to 3,969.44, 5,954.16 and 1,916 is: 2,874

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.44 : 5,954.16 = 1,916 : x
  2. Step 2: Convert to fraction form
    3,969.44/5,954.16 = 1,916/x
  3. Step 3: Cross multiply
    3,969.44x = 5,954.16 × 1,916
  4. Step 4: Simplify right side
    3,969.44x = 11,408,170.56
  5. Step 5: Solve for x
    x = 11,408,170.56/3,969.44
  6. Step 6: Final answer
    x = 2,874

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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.