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Finding the Fourth Proportional to 7,211, 9,951.18 and 3,899

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Solution

The fourth proportional to 7,211, 9,951.18 and 3,899 is: 5,380.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211 : 9,951.18 = 3,899 : x
  2. Step 2: Convert to fraction form
    7,211/9,951.18 = 3,899/x
  3. Step 3: Cross multiply
    7,211x = 9,951.18 × 3,899
  4. Step 4: Simplify right side
    7,211x = 38,799,650.82
  5. Step 5: Solve for x
    x = 38,799,650.82/7,211
  6. Step 6: Final answer
    x = 5,380.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.