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Finding the Fourth Proportional to 3,893.58, 5,843.32 and 3,122.88

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Solution

The fourth proportional to 3,893.58, 5,843.32 and 3,122.88 is: 4,686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.58 : 5,843.32 = 3,122.88 : x
  2. Step 2: Convert to fraction form
    3,893.58/5,843.32 = 3,122.88/x
  3. Step 3: Cross multiply
    3,893.58x = 5,843.32 × 3,122.88
  4. Step 4: Simplify right side
    3,893.58x = 18,247,987.16
  5. Step 5: Solve for x
    x = 18,247,987.16/3,893.58
  6. Step 6: Final answer
    x = 4,686.69

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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.