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Finding the Fourth Proportional to 5,169.80, 7,134.22 and 2,812

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Solution

The fourth proportional to 5,169.80, 7,134.22 and 2,812 is: 3,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.80 : 7,134.22 = 2,812 : x
  2. Step 2: Convert to fraction form
    5,169.80/7,134.22 = 2,812/x
  3. Step 3: Cross multiply
    5,169.80x = 7,134.22 × 2,812
  4. Step 4: Simplify right side
    5,169.80x = 20,061,426.64
  5. Step 5: Solve for x
    x = 20,061,426.64/5,169.80
  6. Step 6: Final answer
    x = 3,880.50

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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.