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Finding the Fourth Proportional to 3,894.75, 5,375.25 and 2,571.21

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Solution

The fourth proportional to 3,894.75, 5,375.25 and 2,571.21 is: 3,548.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.75 : 5,375.25 = 2,571.21 : x
  2. Step 2: Convert to fraction form
    3,894.75/5,375.25 = 2,571.21/x
  3. Step 3: Cross multiply
    3,894.75x = 5,375.25 × 2,571.21
  4. Step 4: Simplify right side
    3,894.75x = 13,820,896.55
  5. Step 5: Solve for x
    x = 13,820,896.55/3,894.75
  6. Step 6: Final answer
    x = 3,548.60

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1.5x scale

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.