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Finding the Fourth Proportional to 7,474.75, 11,212 and 2,280.62

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Solution

The fourth proportional to 7,474.75, 11,212 and 2,280.62 is: 3,420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.75 : 11,212 = 2,280.62 : x
  2. Step 2: Convert to fraction form
    7,474.75/11,212 = 2,280.62/x
  3. Step 3: Cross multiply
    7,474.75x = 11,212 × 2,280.62
  4. Step 4: Simplify right side
    7,474.75x = 25,570,311.44
  5. Step 5: Solve for x
    x = 25,570,311.44/7,474.75
  6. Step 6: Final answer
    x = 3,420.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.