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Finding the Fourth Proportional to 2,043.90, 3,065.49 and 727.43

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Solution

The fourth proportional to 2,043.90, 3,065.49 and 727.43 is: 1,091.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.90 : 3,065.49 = 727.43 : x
  2. Step 2: Convert to fraction form
    2,043.90/3,065.49 = 727.43/x
  3. Step 3: Cross multiply
    2,043.90x = 3,065.49 × 727.43
  4. Step 4: Simplify right side
    2,043.90x = 2,229,914.06
  5. Step 5: Solve for x
    x = 2,229,914.06/2,043.90
  6. Step 6: Final answer
    x = 1,091.01

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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.