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Finding the Fourth Proportional to 6,761.03, 10,138.79 and 2,809.60

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Solution

The fourth proportional to 6,761.03, 10,138.79 and 2,809.60 is: 4,213.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.03 : 10,138.79 = 2,809.60 : x
  2. Step 2: Convert to fraction form
    6,761.03/10,138.79 = 2,809.60/x
  3. Step 3: Cross multiply
    6,761.03x = 10,138.79 × 2,809.60
  4. Step 4: Simplify right side
    6,761.03x = 28,485,926.06
  5. Step 5: Solve for x
    x = 28,485,926.06/6,761.03
  6. Step 6: Final answer
    x = 4,213.26

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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.