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Finding the Fourth Proportional to 3,906.51, 5,390.97 and 2,138.13

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Solution

The fourth proportional to 3,906.51, 5,390.97 and 2,138.13 is: 2,950.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.51 : 5,390.97 = 2,138.13 : x
  2. Step 2: Convert to fraction form
    3,906.51/5,390.97 = 2,138.13/x
  3. Step 3: Cross multiply
    3,906.51x = 5,390.97 × 2,138.13
  4. Step 4: Simplify right side
    3,906.51x = 11,526,594.69
  5. Step 5: Solve for x
    x = 11,526,594.69/3,906.51
  6. Step 6: Final answer
    x = 2,950.61

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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.