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Finding the Fourth Proportional to 3,645.36, 5,019 and 3,179.44

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Solution

The fourth proportional to 3,645.36, 5,019 and 3,179.44 is: 4,377.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.36 : 5,019 = 3,179.44 : x
  2. Step 2: Convert to fraction form
    3,645.36/5,019 = 3,179.44/x
  3. Step 3: Cross multiply
    3,645.36x = 5,019 × 3,179.44
  4. Step 4: Simplify right side
    3,645.36x = 15,957,609.36
  5. Step 5: Solve for x
    x = 15,957,609.36/3,645.36
  6. Step 6: Final answer
    x = 4,377.51

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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.