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Finding the Fourth Proportional to 3,843.54, 5,760.56 and 1,993.58

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Solution

The fourth proportional to 3,843.54, 5,760.56 and 1,993.58 is: 2,987.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.54 : 5,760.56 = 1,993.58 : x
  2. Step 2: Convert to fraction form
    3,843.54/5,760.56 = 1,993.58/x
  3. Step 3: Cross multiply
    3,843.54x = 5,760.56 × 1,993.58
  4. Step 4: Simplify right side
    3,843.54x = 11,484,137.20
  5. Step 5: Solve for x
    x = 11,484,137.20/3,843.54
  6. Step 6: Final answer
    x = 2,987.91

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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.