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Finding the Fourth Proportional to 7,586.38, 11,380.53 and 2,968.78

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Solution

The fourth proportional to 7,586.38, 11,380.53 and 2,968.78 is: 4,453.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.38 : 11,380.53 = 2,968.78 : x
  2. Step 2: Convert to fraction form
    7,586.38/11,380.53 = 2,968.78/x
  3. Step 3: Cross multiply
    7,586.38x = 11,380.53 × 2,968.78
  4. Step 4: Simplify right side
    7,586.38x = 33,786,289.85
  5. Step 5: Solve for x
    x = 33,786,289.85/7,586.38
  6. Step 6: Final answer
    x = 4,453.55

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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.