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Finding the Fourth Proportional to 3,778.65, 5,663.79 and 1,826.82

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Solution

The fourth proportional to 3,778.65, 5,663.79 and 1,826.82 is: 2,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.65 : 5,663.79 = 1,826.82 : x
  2. Step 2: Convert to fraction form
    3,778.65/5,663.79 = 1,826.82/x
  3. Step 3: Cross multiply
    3,778.65x = 5,663.79 × 1,826.82
  4. Step 4: Simplify right side
    3,778.65x = 10,346,724.85
  5. Step 5: Solve for x
    x = 10,346,724.85/3,778.65
  6. Step 6: Final answer
    x = 2,738.21

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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.