Home / 2,042.20-3,063.71-809.38

Finding the Fourth Proportional to 2,042.20, 3,063.71 and 809.38

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Solution

The fourth proportional to 2,042.20, 3,063.71 and 809.38 is: 1,214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.20 : 3,063.71 = 809.38 : x
  2. Step 2: Convert to fraction form
    2,042.20/3,063.71 = 809.38/x
  3. Step 3: Cross multiply
    2,042.20x = 3,063.71 × 809.38
  4. Step 4: Simplify right side
    2,042.20x = 2,479,705.60
  5. Step 5: Solve for x
    x = 2,479,705.60/2,042.20
  6. Step 6: Final answer
    x = 1,214.23

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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.