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Finding the Fourth Proportional to 3,906.15, 5,400.86 and 3,414.08

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Solution

The fourth proportional to 3,906.15, 5,400.86 and 3,414.08 is: 4,720.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.15 : 5,400.86 = 3,414.08 : x
  2. Step 2: Convert to fraction form
    3,906.15/5,400.86 = 3,414.08/x
  3. Step 3: Cross multiply
    3,906.15x = 5,400.86 × 3,414.08
  4. Step 4: Simplify right side
    3,906.15x = 18,438,924.03
  5. Step 5: Solve for x
    x = 18,438,924.03/3,906.15
  6. Step 6: Final answer
    x = 4,720.49

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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.