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Finding the Fourth Proportional to 2,043.20, 3,062.75 and 809.37

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Solution

The fourth proportional to 2,043.20, 3,062.75 and 809.37 is: 1,213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.20 : 3,062.75 = 809.37 : x
  2. Step 2: Convert to fraction form
    2,043.20/3,062.75 = 809.37/x
  3. Step 3: Cross multiply
    2,043.20x = 3,062.75 × 809.37
  4. Step 4: Simplify right side
    2,043.20x = 2,478,878.61
  5. Step 5: Solve for x
    x = 2,478,878.61/2,043.20
  6. Step 6: Final answer
    x = 1,213.23

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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.