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Finding the Fourth Proportional to 5,100.76, 7,651.24 and 2,179.09

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Solution

The fourth proportional to 5,100.76, 7,651.24 and 2,179.09 is: 3,268.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.76 : 7,651.24 = 2,179.09 : x
  2. Step 2: Convert to fraction form
    5,100.76/7,651.24 = 2,179.09/x
  3. Step 3: Cross multiply
    5,100.76x = 7,651.24 × 2,179.09
  4. Step 4: Simplify right side
    5,100.76x = 16,672,740.57
  5. Step 5: Solve for x
    x = 16,672,740.57/5,100.76
  6. Step 6: Final answer
    x = 3,268.68

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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.