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Finding the Fourth Proportional to 3,884.36, 5,361 and 2,469.20

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Solution

The fourth proportional to 3,884.36, 5,361 and 2,469.20 is: 3,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.36 : 5,361 = 2,469.20 : x
  2. Step 2: Convert to fraction form
    3,884.36/5,361 = 2,469.20/x
  3. Step 3: Cross multiply
    3,884.36x = 5,361 × 2,469.20
  4. Step 4: Simplify right side
    3,884.36x = 13,237,381.20
  5. Step 5: Solve for x
    x = 13,237,381.20/3,884.36
  6. Step 6: Final answer
    x = 3,407.87

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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.