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Finding the Fourth Proportional to 3,728.25, 5,144.99 and 2,072.25

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Solution

The fourth proportional to 3,728.25, 5,144.99 and 2,072.25 is: 2,859.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.25 : 5,144.99 = 2,072.25 : x
  2. Step 2: Convert to fraction form
    3,728.25/5,144.99 = 2,072.25/x
  3. Step 3: Cross multiply
    3,728.25x = 5,144.99 × 2,072.25
  4. Step 4: Simplify right side
    3,728.25x = 10,661,695.17
  5. Step 5: Solve for x
    x = 10,661,695.17/3,728.25
  6. Step 6: Final answer
    x = 2,859.71

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Half scale
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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.