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Finding the Fourth Proportional to 8,549.49, 11,796.78 and 5,191.63

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Solution

The fourth proportional to 8,549.49, 11,796.78 and 5,191.63 is: 7,163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.49 : 11,796.78 = 5,191.63 : x
  2. Step 2: Convert to fraction form
    8,549.49/11,796.78 = 5,191.63/x
  3. Step 3: Cross multiply
    8,549.49x = 11,796.78 × 5,191.63
  4. Step 4: Simplify right side
    8,549.49x = 61,244,516.95
  5. Step 5: Solve for x
    x = 61,244,516.95/8,549.49
  6. Step 6: Final answer
    x = 7,163.53

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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.