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Finding the Fourth Proportional to 5,168.80, 7,132.84 and 2,811

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Solution

The fourth proportional to 5,168.80, 7,132.84 and 2,811 is: 3,879.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.80 : 7,132.84 = 2,811 : x
  2. Step 2: Convert to fraction form
    5,168.80/7,132.84 = 2,811/x
  3. Step 3: Cross multiply
    5,168.80x = 7,132.84 × 2,811
  4. Step 4: Simplify right side
    5,168.80x = 20,050,413.24
  5. Step 5: Solve for x
    x = 20,050,413.24/5,168.80
  6. Step 6: Final answer
    x = 3,879.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.