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Finding the Fourth Proportional to 7,894.82, 11,840.38 and 3,213.56

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Solution

The fourth proportional to 7,894.82, 11,840.38 and 3,213.56 is: 4,819.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.82 : 11,840.38 = 3,213.56 : x
  2. Step 2: Convert to fraction form
    7,894.82/11,840.38 = 3,213.56/x
  3. Step 3: Cross multiply
    7,894.82x = 11,840.38 × 3,213.56
  4. Step 4: Simplify right side
    7,894.82x = 38,049,771.55
  5. Step 5: Solve for x
    x = 38,049,771.55/7,894.82
  6. Step 6: Final answer
    x = 4,819.59

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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.