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Finding the Fourth Proportional to 2,543.42, 3,815.09 and 812

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Solution

The fourth proportional to 2,543.42, 3,815.09 and 812 is: 1,217.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.42 : 3,815.09 = 812 : x
  2. Step 2: Convert to fraction form
    2,543.42/3,815.09 = 812/x
  3. Step 3: Cross multiply
    2,543.42x = 3,815.09 × 812
  4. Step 4: Simplify right side
    2,543.42x = 3,097,849.02
  5. Step 5: Solve for x
    x = 3,097,849.02/2,543.42
  6. Step 6: Final answer
    x = 1,217.99

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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.