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Finding the Fourth Proportional to 6,919.59, 10,375.20 and 2,760.24

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Solution

The fourth proportional to 6,919.59, 10,375.20 and 2,760.24 is: 4,138.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,919.59 : 10,375.20 = 2,760.24 : x
  2. Step 2: Convert to fraction form
    6,919.59/10,375.20 = 2,760.24/x
  3. Step 3: Cross multiply
    6,919.59x = 10,375.20 × 2,760.24
  4. Step 4: Simplify right side
    6,919.59x = 28,638,042.05
  5. Step 5: Solve for x
    x = 28,638,042.05/6,919.59
  6. Step 6: Final answer
    x = 4,138.69

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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.