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Finding the Fourth Proportional to 2,788.92, 4,179.66 and 2,494.56

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Solution

The fourth proportional to 2,788.92, 4,179.66 and 2,494.56 is: 3,738.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.92 : 4,179.66 = 2,494.56 : x
  2. Step 2: Convert to fraction form
    2,788.92/4,179.66 = 2,494.56/x
  3. Step 3: Cross multiply
    2,788.92x = 4,179.66 × 2,494.56
  4. Step 4: Simplify right side
    2,788.92x = 10,426,412.65
  5. Step 5: Solve for x
    x = 10,426,412.65/2,788.92
  6. Step 6: Final answer
    x = 3,738.51

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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.