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Finding the Fourth Proportional to 2,920.50, 4,369.82 and 1,819.71

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Solution

The fourth proportional to 2,920.50, 4,369.82 and 1,819.71 is: 2,722.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.50 : 4,369.82 = 1,819.71 : x
  2. Step 2: Convert to fraction form
    2,920.50/4,369.82 = 1,819.71/x
  3. Step 3: Cross multiply
    2,920.50x = 4,369.82 × 1,819.71
  4. Step 4: Simplify right side
    2,920.50x = 7,951,796.05
  5. Step 5: Solve for x
    x = 7,951,796.05/2,920.50
  6. Step 6: Final answer
    x = 2,722.75

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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.