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Finding the Fourth Proportional to 2,049.20, 3,072.86 and 588

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Solution

The fourth proportional to 2,049.20, 3,072.86 and 588 is: 881.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.20 : 3,072.86 = 588 : x
  2. Step 2: Convert to fraction form
    2,049.20/3,072.86 = 588/x
  3. Step 3: Cross multiply
    2,049.20x = 3,072.86 × 588
  4. Step 4: Simplify right side
    2,049.20x = 1,806,841.68
  5. Step 5: Solve for x
    x = 1,806,841.68/2,049.20
  6. Step 6: Final answer
    x = 881.73

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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.