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Finding the Fourth Proportional to 11,959, 17,939.46 and 3,751

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Solution

The fourth proportional to 11,959, 17,939.46 and 3,751 is: 5,626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959 : 17,939.46 = 3,751 : x
  2. Step 2: Convert to fraction form
    11,959/17,939.46 = 3,751/x
  3. Step 3: Cross multiply
    11,959x = 17,939.46 × 3,751
  4. Step 4: Simplify right side
    11,959x = 67,290,914.46
  5. Step 5: Solve for x
    x = 67,290,914.46/11,959
  6. Step 6: Final answer
    x = 5,626.80

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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.