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Finding the Fourth Proportional to 7,819.03, 11,729.31 and 2,272.42

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Solution

The fourth proportional to 7,819.03, 11,729.31 and 2,272.42 is: 3,408.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,819.03 : 11,729.31 = 2,272.42 : x
  2. Step 2: Convert to fraction form
    7,819.03/11,729.31 = 2,272.42/x
  3. Step 3: Cross multiply
    7,819.03x = 11,729.31 × 2,272.42
  4. Step 4: Simplify right side
    7,819.03x = 26,653,883.63
  5. Step 5: Solve for x
    x = 26,653,883.63/7,819.03
  6. Step 6: Final answer
    x = 3,408.85

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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.