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Finding the Fourth Proportional to 11,921.50, 17,882.25 and 3,713.50

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Solution

The fourth proportional to 11,921.50, 17,882.25 and 3,713.50 is: 5,570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,921.50 : 17,882.25 = 3,713.50 : x
  2. Step 2: Convert to fraction form
    11,921.50/17,882.25 = 3,713.50/x
  3. Step 3: Cross multiply
    11,921.50x = 17,882.25 × 3,713.50
  4. Step 4: Simplify right side
    11,921.50x = 66,405,735.38
  5. Step 5: Solve for x
    x = 66,405,735.38/11,921.50
  6. Step 6: Final answer
    x = 5,570.25

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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.