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Finding the Fourth Proportional to 3,196.80, 4,384.80 and 3,067.20

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Solution

The fourth proportional to 3,196.80, 4,384.80 and 3,067.20 is: 4,207.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.80 : 4,384.80 = 3,067.20 : x
  2. Step 2: Convert to fraction form
    3,196.80/4,384.80 = 3,067.20/x
  3. Step 3: Cross multiply
    3,196.80x = 4,384.80 × 3,067.20
  4. Step 4: Simplify right side
    3,196.80x = 13,449,058.56
  5. Step 5: Solve for x
    x = 13,449,058.56/3,196.80
  6. Step 6: Final answer
    x = 4,207.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.