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Finding the Fourth Proportional to 2,042.76, 3,062.94 and 809.16

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Solution

The fourth proportional to 2,042.76, 3,062.94 and 809.16 is: 1,213.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.76 : 3,062.94 = 809.16 : x
  2. Step 2: Convert to fraction form
    2,042.76/3,062.94 = 809.16/x
  3. Step 3: Cross multiply
    2,042.76x = 3,062.94 × 809.16
  4. Step 4: Simplify right side
    2,042.76x = 2,478,408.53
  5. Step 5: Solve for x
    x = 2,478,408.53/2,042.76
  6. Step 6: Final answer
    x = 1,213.26

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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.