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Finding the Fourth Proportional to 9,795.28, 13,519.96 and 5,819.20

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Solution

The fourth proportional to 9,795.28, 13,519.96 and 5,819.20 is: 8,031.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.28 : 13,519.96 = 5,819.20 : x
  2. Step 2: Convert to fraction form
    9,795.28/13,519.96 = 5,819.20/x
  3. Step 3: Cross multiply
    9,795.28x = 13,519.96 × 5,819.20
  4. Step 4: Simplify right side
    9,795.28x = 78,675,351.23
  5. Step 5: Solve for x
    x = 78,675,351.23/9,795.28
  6. Step 6: Final answer
    x = 8,031.97

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