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Finding the Fourth Proportional to 1,720.69, 2,579.81 and 1,227.11

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Solution

The fourth proportional to 1,720.69, 2,579.81 and 1,227.11 is: 1,839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.69 : 2,579.81 = 1,227.11 : x
  2. Step 2: Convert to fraction form
    1,720.69/2,579.81 = 1,227.11/x
  3. Step 3: Cross multiply
    1,720.69x = 2,579.81 × 1,227.11
  4. Step 4: Simplify right side
    1,720.69x = 3,165,691.61
  5. Step 5: Solve for x
    x = 3,165,691.61/1,720.69
  6. Step 6: Final answer
    x = 1,839.78

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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.