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Finding the Fourth Proportional to 11,776.15, 17,666.67 and 3,879.15

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Solution

The fourth proportional to 11,776.15, 17,666.67 and 3,879.15 is: 5,819.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.15 : 17,666.67 = 3,879.15 : x
  2. Step 2: Convert to fraction form
    11,776.15/17,666.67 = 3,879.15/x
  3. Step 3: Cross multiply
    11,776.15x = 17,666.67 × 3,879.15
  4. Step 4: Simplify right side
    11,776.15x = 68,531,688.91
  5. Step 5: Solve for x
    x = 68,531,688.91/11,776.15
  6. Step 6: Final answer
    x = 5,819.53

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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.