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Finding the Fourth Proportional to 11,757.68, 17,644.79 and 5,517.89

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Solution

The fourth proportional to 11,757.68, 17,644.79 and 5,517.89 is: 8,280.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.68 : 17,644.79 = 5,517.89 : x
  2. Step 2: Convert to fraction form
    11,757.68/17,644.79 = 5,517.89/x
  3. Step 3: Cross multiply
    11,757.68x = 17,644.79 × 5,517.89
  4. Step 4: Simplify right side
    11,757.68x = 97,362,010.29
  5. Step 5: Solve for x
    x = 97,362,010.29/11,757.68
  6. Step 6: Final answer
    x = 8,280.72

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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.