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Finding the Fourth Proportional to 10,796.79, 16,169.99 and 8,311.89

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Solution

The fourth proportional to 10,796.79, 16,169.99 and 8,311.89 is: 12,448.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.79 : 16,169.99 = 8,311.89 : x
  2. Step 2: Convert to fraction form
    10,796.79/16,169.99 = 8,311.89/x
  3. Step 3: Cross multiply
    10,796.79x = 16,169.99 × 8,311.89
  4. Step 4: Simplify right side
    10,796.79x = 134,403,136.62
  5. Step 5: Solve for x
    x = 134,403,136.62/10,796.79
  6. Step 6: Final answer
    x = 12,448.43

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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.