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Finding the Fourth Proportional to 3,997.55, 5,997.25 and 1,224.63

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Solution

The fourth proportional to 3,997.55, 5,997.25 and 1,224.63 is: 1,837.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.55 : 5,997.25 = 1,224.63 : x
  2. Step 2: Convert to fraction form
    3,997.55/5,997.25 = 1,224.63/x
  3. Step 3: Cross multiply
    3,997.55x = 5,997.25 × 1,224.63
  4. Step 4: Simplify right side
    3,997.55x = 7,344,413.80
  5. Step 5: Solve for x
    x = 7,344,413.80/3,997.55
  6. Step 6: Final answer
    x = 1,837.23

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Double scale
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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.