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Finding the Fourth Proportional to 8,632.47, 11,912.86 and 5,097.43

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Solution

The fourth proportional to 8,632.47, 11,912.86 and 5,097.43 is: 7,034.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.47 : 11,912.86 = 5,097.43 : x
  2. Step 2: Convert to fraction form
    8,632.47/11,912.86 = 5,097.43/x
  3. Step 3: Cross multiply
    8,632.47x = 11,912.86 × 5,097.43
  4. Step 4: Simplify right side
    8,632.47x = 60,724,884.90
  5. Step 5: Solve for x
    x = 60,724,884.90/8,632.47
  6. Step 6: Final answer
    x = 7,034.47

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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.