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Finding the Fourth Proportional to 3,728.55, 5,593.43 and 1,228.99

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Solution

The fourth proportional to 3,728.55, 5,593.43 and 1,228.99 is: 1,843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.55 : 5,593.43 = 1,228.99 : x
  2. Step 2: Convert to fraction form
    3,728.55/5,593.43 = 1,228.99/x
  3. Step 3: Cross multiply
    3,728.55x = 5,593.43 × 1,228.99
  4. Step 4: Simplify right side
    3,728.55x = 6,874,269.54
  5. Step 5: Solve for x
    x = 6,874,269.54/3,728.55
  6. Step 6: Final answer
    x = 1,843.68

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Half 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.