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Finding the Fourth Proportional to 7,805.10, 11,704.86 and 3,906.84

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Solution

The fourth proportional to 7,805.10, 11,704.86 and 3,906.84 is: 5,858.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.10 : 11,704.86 = 3,906.84 : x
  2. Step 2: Convert to fraction form
    7,805.10/11,704.86 = 3,906.84/x
  3. Step 3: Cross multiply
    7,805.10x = 11,704.86 × 3,906.84
  4. Step 4: Simplify right side
    7,805.10x = 45,729,015.24
  5. Step 5: Solve for x
    x = 45,729,015.24/7,805.10
  6. Step 6: Final answer
    x = 5,858.86

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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.