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Finding the Fourth Proportional to 2,042.10, 3,062.88 and 809.82

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Solution

The fourth proportional to 2,042.10, 3,062.88 and 809.82 is: 1,214.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.10 : 3,062.88 = 809.82 : x
  2. Step 2: Convert to fraction form
    2,042.10/3,062.88 = 809.82/x
  3. Step 3: Cross multiply
    2,042.10x = 3,062.88 × 809.82
  4. Step 4: Simplify right side
    2,042.10x = 2,480,381.48
  5. Step 5: Solve for x
    x = 2,480,381.48/2,042.10
  6. Step 6: Final answer
    x = 1,214.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.