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Finding the Fourth Proportional to 2,112.12, 3,167.94 and 573

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Solution

The fourth proportional to 2,112.12, 3,167.94 and 573 is: 859.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.12 : 3,167.94 = 573 : x
  2. Step 2: Convert to fraction form
    2,112.12/3,167.94 = 573/x
  3. Step 3: Cross multiply
    2,112.12x = 3,167.94 × 573
  4. Step 4: Simplify right side
    2,112.12x = 1,815,229.62
  5. Step 5: Solve for x
    x = 1,815,229.62/2,112.12
  6. Step 6: Final answer
    x = 859.43

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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.