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Finding the Fourth Proportional to 7,606.80, 11,410.07 and 3,906.86

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Solution

The fourth proportional to 7,606.80, 11,410.07 and 3,906.86 is: 5,860.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.80 : 11,410.07 = 3,906.86 : x
  2. Step 2: Convert to fraction form
    7,606.80/11,410.07 = 3,906.86/x
  3. Step 3: Cross multiply
    7,606.80x = 11,410.07 × 3,906.86
  4. Step 4: Simplify right side
    7,606.80x = 44,577,469.50
  5. Step 5: Solve for x
    x = 44,577,469.50/7,606.80
  6. Step 6: Final answer
    x = 5,860.21

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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.