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Finding the Fourth Proportional to 11,947, 17,920.50 and 3,739

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Solution

The fourth proportional to 11,947, 17,920.50 and 3,739 is: 5,608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947 : 17,920.50 = 3,739 : x
  2. Step 2: Convert to fraction form
    11,947/17,920.50 = 3,739/x
  3. Step 3: Cross multiply
    11,947x = 17,920.50 × 3,739
  4. Step 4: Simplify right side
    11,947x = 67,004,749.50
  5. Step 5: Solve for x
    x = 67,004,749.50/11,947
  6. Step 6: Final answer
    x = 5,608.50

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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.