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Finding the Fourth Proportional to 2,778.81, 4,168.22 and 832.38

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Solution

The fourth proportional to 2,778.81, 4,168.22 and 832.38 is: 1,248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.81 : 4,168.22 = 832.38 : x
  2. Step 2: Convert to fraction form
    2,778.81/4,168.22 = 832.38/x
  3. Step 3: Cross multiply
    2,778.81x = 4,168.22 × 832.38
  4. Step 4: Simplify right side
    2,778.81x = 3,469,538.80
  5. Step 5: Solve for x
    x = 3,469,538.80/2,778.81
  6. Step 6: Final answer
    x = 1,248.57

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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.