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Finding the Fourth Proportional to 7,791.87, 11,680.84 and 3,405.86

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Solution

The fourth proportional to 7,791.87, 11,680.84 and 3,405.86 is: 5,105.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.87 : 11,680.84 = 3,405.86 : x
  2. Step 2: Convert to fraction form
    7,791.87/11,680.84 = 3,405.86/x
  3. Step 3: Cross multiply
    7,791.87x = 11,680.84 × 3,405.86
  4. Step 4: Simplify right side
    7,791.87x = 39,783,305.72
  5. Step 5: Solve for x
    x = 39,783,305.72/7,791.87
  6. Step 6: Final answer
    x = 5,105.75

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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.