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Finding the Fourth Proportional to 2,067.80, 2,855.10 and 1,447.64

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Solution

The fourth proportional to 2,067.80, 2,855.10 and 1,447.64 is: 1,998.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.80 : 2,855.10 = 1,447.64 : x
  2. Step 2: Convert to fraction form
    2,067.80/2,855.10 = 1,447.64/x
  3. Step 3: Cross multiply
    2,067.80x = 2,855.10 × 1,447.64
  4. Step 4: Simplify right side
    2,067.80x = 4,133,156.96
  5. Step 5: Solve for x
    x = 4,133,156.96/2,067.80
  6. Step 6: Final answer
    x = 1,998.82

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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.