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Finding the Fourth Proportional to 2,900.05, 4,349.84 and 819.97

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Solution

The fourth proportional to 2,900.05, 4,349.84 and 819.97 is: 1,229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.05 : 4,349.84 = 819.97 : x
  2. Step 2: Convert to fraction form
    2,900.05/4,349.84 = 819.97/x
  3. Step 3: Cross multiply
    2,900.05x = 4,349.84 × 819.97
  4. Step 4: Simplify right side
    2,900.05x = 3,566,738.30
  5. Step 5: Solve for x
    x = 3,566,738.30/2,900.05
  6. Step 6: Final answer
    x = 1,229.89

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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.