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Finding the Fourth Proportional to 2,042.43, 3,061.62 and 809.07

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Solution

The fourth proportional to 2,042.43, 3,061.62 and 809.07 is: 1,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.43 : 3,061.62 = 809.07 : x
  2. Step 2: Convert to fraction form
    2,042.43/3,061.62 = 809.07/x
  3. Step 3: Cross multiply
    2,042.43x = 3,061.62 × 809.07
  4. Step 4: Simplify right side
    2,042.43x = 2,477,064.89
  5. Step 5: Solve for x
    x = 2,477,064.89/2,042.43
  6. Step 6: Final answer
    x = 1,212.80

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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.