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Finding the Fourth Proportional to 3,671.96, 5,067.24 and 2,884.64

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Solution

The fourth proportional to 3,671.96, 5,067.24 and 2,884.64 is: 3,980.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.96 : 5,067.24 = 2,884.64 : x
  2. Step 2: Convert to fraction form
    3,671.96/5,067.24 = 2,884.64/x
  3. Step 3: Cross multiply
    3,671.96x = 5,067.24 × 2,884.64
  4. Step 4: Simplify right side
    3,671.96x = 14,617,163.19
  5. Step 5: Solve for x
    x = 14,617,163.19/3,671.96
  6. Step 6: Final answer
    x = 3,980.75

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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.