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Finding the Fourth Proportional to 11,388.50, 17,082.78 and 3,180.50

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Solution

The fourth proportional to 11,388.50, 17,082.78 and 3,180.50 is: 4,770.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,388.50 : 17,082.78 = 3,180.50 : x
  2. Step 2: Convert to fraction form
    11,388.50/17,082.78 = 3,180.50/x
  3. Step 3: Cross multiply
    11,388.50x = 17,082.78 × 3,180.50
  4. Step 4: Simplify right side
    11,388.50x = 54,331,781.79
  5. Step 5: Solve for x
    x = 54,331,781.79/11,388.50
  6. Step 6: Final answer
    x = 4,770.76

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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.