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Finding the Fourth Proportional to 3,474.72, 5,209.78 and 1,915.48

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Solution

The fourth proportional to 3,474.72, 5,209.78 and 1,915.48 is: 2,871.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.72 : 5,209.78 = 1,915.48 : x
  2. Step 2: Convert to fraction form
    3,474.72/5,209.78 = 1,915.48/x
  3. Step 3: Cross multiply
    3,474.72x = 5,209.78 × 1,915.48
  4. Step 4: Simplify right side
    3,474.72x = 9,979,229.39
  5. Step 5: Solve for x
    x = 9,979,229.39/3,474.72
  6. Step 6: Final answer
    x = 2,871.95

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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.