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Finding the Fourth Proportional to 7,186.27, 10,772.10 and 5,451.25

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Solution

The fourth proportional to 7,186.27, 10,772.10 and 5,451.25 is: 8,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.27 : 10,772.10 = 5,451.25 : x
  2. Step 2: Convert to fraction form
    7,186.27/10,772.10 = 5,451.25/x
  3. Step 3: Cross multiply
    7,186.27x = 10,772.10 × 5,451.25
  4. Step 4: Simplify right side
    7,186.27x = 58,721,410.13
  5. Step 5: Solve for x
    x = 58,721,410.13/7,186.27
  6. Step 6: Final answer
    x = 8,171.33

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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.