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Finding the Fourth Proportional to 7,174.89, 10,742.37 and 5,414.56

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Solution

The fourth proportional to 7,174.89, 10,742.37 and 5,414.56 is: 8,106.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.89 : 10,742.37 = 5,414.56 : x
  2. Step 2: Convert to fraction form
    7,174.89/10,742.37 = 5,414.56/x
  3. Step 3: Cross multiply
    7,174.89x = 10,742.37 × 5,414.56
  4. Step 4: Simplify right side
    7,174.89x = 58,165,189.96
  5. Step 5: Solve for x
    x = 58,165,189.96/7,174.89
  6. Step 6: Final answer
    x = 8,106.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.