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Finding the Fourth Proportional to 7,181, 10,771.50 and 2,251.04

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Solution

The fourth proportional to 7,181, 10,771.50 and 2,251.04 is: 3,376.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181 : 10,771.50 = 2,251.04 : x
  2. Step 2: Convert to fraction form
    7,181/10,771.50 = 2,251.04/x
  3. Step 3: Cross multiply
    7,181x = 10,771.50 × 2,251.04
  4. Step 4: Simplify right side
    7,181x = 24,247,077.36
  5. Step 5: Solve for x
    x = 24,247,077.36/7,181
  6. Step 6: Final answer
    x = 3,376.56

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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.