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Finding the Fourth Proportional to 7,160.80, 10,734.72 and 2,542.72

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Solution

The fourth proportional to 7,160.80, 10,734.72 and 2,542.72 is: 3,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.80 : 10,734.72 = 2,542.72 : x
  2. Step 2: Convert to fraction form
    7,160.80/10,734.72 = 2,542.72/x
  3. Step 3: Cross multiply
    7,160.80x = 10,734.72 × 2,542.72
  4. Step 4: Simplify right side
    7,160.80x = 27,295,387.24
  5. Step 5: Solve for x
    x = 27,295,387.24/7,160.80
  6. Step 6: Final answer
    x = 3,811.78

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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.