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Finding the Fourth Proportional to 11,775.78, 17,666.24 and 3,879

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Solution

The fourth proportional to 11,775.78, 17,666.24 and 3,879 is: 5,819.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.78 : 17,666.24 = 3,879 : x
  2. Step 2: Convert to fraction form
    11,775.78/17,666.24 = 3,879/x
  3. Step 3: Cross multiply
    11,775.78x = 17,666.24 × 3,879
  4. Step 4: Simplify right side
    11,775.78x = 68,527,325.57
  5. Step 5: Solve for x
    x = 68,527,325.57/11,775.78
  6. Step 6: Final answer
    x = 5,819.34

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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.