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Finding the Fourth Proportional to 3,909, 5,394.42 and 2,915.13

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Solution

The fourth proportional to 3,909, 5,394.42 and 2,915.13 is: 4,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909 : 5,394.42 = 2,915.13 : x
  2. Step 2: Convert to fraction form
    3,909/5,394.42 = 2,915.13/x
  3. Step 3: Cross multiply
    3,909x = 5,394.42 × 2,915.13
  4. Step 4: Simplify right side
    3,909x = 15,725,435.57
  5. Step 5: Solve for x
    x = 15,725,435.57/3,909
  6. Step 6: Final answer
    x = 4,022.88

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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.