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Finding the Fourth Proportional to 2,043.81, 3,066.12 and 811.80

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Solution

The fourth proportional to 2,043.81, 3,066.12 and 811.80 is: 1,217.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.81 : 3,066.12 = 811.80 : x
  2. Step 2: Convert to fraction form
    2,043.81/3,066.12 = 811.80/x
  3. Step 3: Cross multiply
    2,043.81x = 3,066.12 × 811.80
  4. Step 4: Simplify right side
    2,043.81x = 2,489,076.22
  5. Step 5: Solve for x
    x = 2,489,076.22/2,043.81
  6. Step 6: Final answer
    x = 1,217.86

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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.