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Finding the Fourth Proportional to 11,850.50, 17,774.33 and 3,086.10

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Solution

The fourth proportional to 11,850.50, 17,774.33 and 3,086.10 is: 4,628.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,850.50 : 17,774.33 = 3,086.10 : x
  2. Step 2: Convert to fraction form
    11,850.50/17,774.33 = 3,086.10/x
  3. Step 3: Cross multiply
    11,850.50x = 17,774.33 × 3,086.10
  4. Step 4: Simplify right side
    11,850.50x = 54,853,359.81
  5. Step 5: Solve for x
    x = 54,853,359.81/11,850.50
  6. Step 6: Final answer
    x = 4,628.78

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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.