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Finding the Fourth Proportional to 2,783.29, 4,174.66 and 731.29

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Solution

The fourth proportional to 2,783.29, 4,174.66 and 731.29 is: 1,096.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.29 : 4,174.66 = 731.29 : x
  2. Step 2: Convert to fraction form
    2,783.29/4,174.66 = 731.29/x
  3. Step 3: Cross multiply
    2,783.29x = 4,174.66 × 731.29
  4. Step 4: Simplify right side
    2,783.29x = 3,052,874.85
  5. Step 5: Solve for x
    x = 3,052,874.85/2,783.29
  6. Step 6: Final answer
    x = 1,096.86

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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.