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Finding the Fourth Proportional to 11,586.80, 17,380.20 and 3,796.40

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Solution

The fourth proportional to 11,586.80, 17,380.20 and 3,796.40 is: 5,694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.80 : 17,380.20 = 3,796.40 : x
  2. Step 2: Convert to fraction form
    11,586.80/17,380.20 = 3,796.40/x
  3. Step 3: Cross multiply
    11,586.80x = 17,380.20 × 3,796.40
  4. Step 4: Simplify right side
    11,586.80x = 65,982,191.28
  5. Step 5: Solve for x
    x = 65,982,191.28/11,586.80
  6. Step 6: Final answer
    x = 5,694.60

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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.