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Finding the Fourth Proportional to 7,814.92, 11,722.42 and 3,197.92

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Solution

The fourth proportional to 7,814.92, 11,722.42 and 3,197.92 is: 4,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.92 : 11,722.42 = 3,197.92 : x
  2. Step 2: Convert to fraction form
    7,814.92/11,722.42 = 3,197.92/x
  3. Step 3: Cross multiply
    7,814.92x = 11,722.42 × 3,197.92
  4. Step 4: Simplify right side
    7,814.92x = 37,487,361.37
  5. Step 5: Solve for x
    x = 37,487,361.37/7,814.92
  6. Step 6: Final answer
    x = 4,796.90

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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.