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Finding the Fourth Proportional to 7,906.40, 11,859.81 and 3,745.43

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Solution

The fourth proportional to 7,906.40, 11,859.81 and 3,745.43 is: 5,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.40 : 11,859.81 = 3,745.43 : x
  2. Step 2: Convert to fraction form
    7,906.40/11,859.81 = 3,745.43/x
  3. Step 3: Cross multiply
    7,906.40x = 11,859.81 × 3,745.43
  4. Step 4: Simplify right side
    7,906.40x = 44,420,069.44
  5. Step 5: Solve for x
    x = 44,420,069.44/7,906.40
  6. Step 6: Final answer
    x = 5,618.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.