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Finding the Fourth Proportional to 8,532.75, 11,771.96 and 5,174.40

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Solution

The fourth proportional to 8,532.75, 11,771.96 and 5,174.40 is: 7,138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.75 : 11,771.96 = 5,174.40 : x
  2. Step 2: Convert to fraction form
    8,532.75/11,771.96 = 5,174.40/x
  3. Step 3: Cross multiply
    8,532.75x = 11,771.96 × 5,174.40
  4. Step 4: Simplify right side
    8,532.75x = 60,912,829.82
  5. Step 5: Solve for x
    x = 60,912,829.82/8,532.75
  6. Step 6: Final answer
    x = 7,138.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.