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Finding the Fourth Proportional to 3,906.44, 5,838.70 and 3,408.92

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Solution

The fourth proportional to 3,906.44, 5,838.70 and 3,408.92 is: 5,095.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.44 : 5,838.70 = 3,408.92 : x
  2. Step 2: Convert to fraction form
    3,906.44/5,838.70 = 3,408.92/x
  3. Step 3: Cross multiply
    3,906.44x = 5,838.70 × 3,408.92
  4. Step 4: Simplify right side
    3,906.44x = 19,903,661.20
  5. Step 5: Solve for x
    x = 19,903,661.20/3,906.44
  6. Step 6: Final answer
    x = 5,095.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.