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Finding the Fourth Proportional to 3,884.42, 5,355.86 and 3,173.64

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Solution

The fourth proportional to 3,884.42, 5,355.86 and 3,173.64 is: 4,375.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.42 : 5,355.86 = 3,173.64 : x
  2. Step 2: Convert to fraction form
    3,884.42/5,355.86 = 3,173.64/x
  3. Step 3: Cross multiply
    3,884.42x = 5,355.86 × 3,173.64
  4. Step 4: Simplify right side
    3,884.42x = 16,997,555.66
  5. Step 5: Solve for x
    x = 16,997,555.66/3,884.42
  6. Step 6: Final answer
    x = 4,375.83

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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.