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Finding the Fourth Proportional to 3,370.72, 5,047.44 and 2,819.92

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Solution

The fourth proportional to 3,370.72, 5,047.44 and 2,819.92 is: 4,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370.72 : 5,047.44 = 2,819.92 : x
  2. Step 2: Convert to fraction form
    3,370.72/5,047.44 = 2,819.92/x
  3. Step 3: Cross multiply
    3,370.72x = 5,047.44 × 2,819.92
  4. Step 4: Simplify right side
    3,370.72x = 14,233,377.00
  5. Step 5: Solve for x
    x = 14,233,377.00/3,370.72
  6. Step 6: Final answer
    x = 4,222.65

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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.