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Finding the Fourth Proportional to 7,170.00, 10,731.97 and 3,829.90

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Solution

The fourth proportional to 7,170.00, 10,731.97 and 3,829.90 is: 5,732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.00 : 10,731.97 = 3,829.90 : x
  2. Step 2: Convert to fraction form
    7,170.00/10,731.97 = 3,829.90/x
  3. Step 3: Cross multiply
    7,170.00x = 10,731.97 × 3,829.90
  4. Step 4: Simplify right side
    7,170.00x = 41,102,318.86
  5. Step 5: Solve for x
    x = 41,102,318.86/7,170.00
  6. Step 6: Final answer
    x = 5,732.54

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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.