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Finding the Fourth Proportional to 11,775.78, 17,659.20 and 3,454.02

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Solution

The fourth proportional to 11,775.78, 17,659.20 and 3,454.02 is: 5,179.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.78 : 17,659.20 = 3,454.02 : x
  2. Step 2: Convert to fraction form
    11,775.78/17,659.20 = 3,454.02/x
  3. Step 3: Cross multiply
    11,775.78x = 17,659.20 × 3,454.02
  4. Step 4: Simplify right side
    11,775.78x = 60,995,229.98
  5. Step 5: Solve for x
    x = 60,995,229.98/11,775.78
  6. Step 6: Final answer
    x = 5,179.72

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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.