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Finding the Fourth Proportional to 7,174.31, 10,755 and 2,790.72

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Solution

The fourth proportional to 7,174.31, 10,755 and 2,790.72 is: 4,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.31 : 10,755 = 2,790.72 : x
  2. Step 2: Convert to fraction form
    7,174.31/10,755 = 2,790.72/x
  3. Step 3: Cross multiply
    7,174.31x = 10,755 × 2,790.72
  4. Step 4: Simplify right side
    7,174.31x = 30,014,193.60
  5. Step 5: Solve for x
    x = 30,014,193.60/7,174.31
  6. Step 6: Final answer
    x = 4,183.57

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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.