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Finding the Fourth Proportional to 2,042.15, 3,062.43 and 809.73

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Solution

The fourth proportional to 2,042.15, 3,062.43 and 809.73 is: 1,214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.15 : 3,062.43 = 809.73 : x
  2. Step 2: Convert to fraction form
    2,042.15/3,062.43 = 809.73/x
  3. Step 3: Cross multiply
    2,042.15x = 3,062.43 × 809.73
  4. Step 4: Simplify right side
    2,042.15x = 2,479,741.44
  5. Step 5: Solve for x
    x = 2,479,741.44/2,042.15
  6. Step 6: Final answer
    x = 1,214.28

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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.