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Finding the Fourth Proportional to 6,796.72, 10,198.90 and 5,311.78

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Solution

The fourth proportional to 6,796.72, 10,198.90 and 5,311.78 is: 7,970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.72 : 10,198.90 = 5,311.78 : x
  2. Step 2: Convert to fraction form
    6,796.72/10,198.90 = 5,311.78/x
  3. Step 3: Cross multiply
    6,796.72x = 10,198.90 × 5,311.78
  4. Step 4: Simplify right side
    6,796.72x = 54,174,313.04
  5. Step 5: Solve for x
    x = 54,174,313.04/6,796.72
  6. Step 6: Final answer
    x = 7,970.66

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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.