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Finding the Fourth Proportional to 3,840.72, 5,760.54 and 2,725.44

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Solution

The fourth proportional to 3,840.72, 5,760.54 and 2,725.44 is: 4,087.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.72 : 5,760.54 = 2,725.44 : x
  2. Step 2: Convert to fraction form
    3,840.72/5,760.54 = 2,725.44/x
  3. Step 3: Cross multiply
    3,840.72x = 5,760.54 × 2,725.44
  4. Step 4: Simplify right side
    3,840.72x = 15,700,006.14
  5. Step 5: Solve for x
    x = 15,700,006.14/3,840.72
  6. Step 6: Final answer
    x = 4,087.78

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1.5x scale

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.