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Finding the Fourth Proportional to 11,142.15, 16,716 and 7,861.65

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Solution

The fourth proportional to 11,142.15, 16,716 and 7,861.65 is: 11,794.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.15 : 16,716 = 7,861.65 : x
  2. Step 2: Convert to fraction form
    11,142.15/16,716 = 7,861.65/x
  3. Step 3: Cross multiply
    11,142.15x = 16,716 × 7,861.65
  4. Step 4: Simplify right side
    11,142.15x = 131,415,341.40
  5. Step 5: Solve for x
    x = 131,415,341.40/11,142.15
  6. Step 6: Final answer
    x = 11,794.43

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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.