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Finding the Fourth Proportional to 2,044.43, 3,067.46 and 812.72

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Solution

The fourth proportional to 2,044.43, 3,067.46 and 812.72 is: 1,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.43 : 3,067.46 = 812.72 : x
  2. Step 2: Convert to fraction form
    2,044.43/3,067.46 = 812.72/x
  3. Step 3: Cross multiply
    2,044.43x = 3,067.46 × 812.72
  4. Step 4: Simplify right side
    2,044.43x = 2,492,966.69
  5. Step 5: Solve for x
    x = 2,492,966.69/2,044.43
  6. Step 6: Final answer
    x = 1,219.40

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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.