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Finding the Fourth Proportional to 1,815, 2,723.22 and 789.72

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Solution

The fourth proportional to 1,815, 2,723.22 and 789.72 is: 1,184.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815 : 2,723.22 = 789.72 : x
  2. Step 2: Convert to fraction form
    1,815/2,723.22 = 789.72/x
  3. Step 3: Cross multiply
    1,815x = 2,723.22 × 789.72
  4. Step 4: Simplify right side
    1,815x = 2,150,581.30
  5. Step 5: Solve for x
    x = 2,150,581.30/1,815
  6. Step 6: Final answer
    x = 1,184.89

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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.