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Finding the Fourth Proportional to 7,795.20, 11,694.72 and 5,491.20

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Solution

The fourth proportional to 7,795.20, 11,694.72 and 5,491.20 is: 8,238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.20 : 11,694.72 = 5,491.20 : x
  2. Step 2: Convert to fraction form
    7,795.20/11,694.72 = 5,491.20/x
  3. Step 3: Cross multiply
    7,795.20x = 11,694.72 × 5,491.20
  4. Step 4: Simplify right side
    7,795.20x = 64,218,046.46
  5. Step 5: Solve for x
    x = 64,218,046.46/7,795.20
  6. Step 6: Final answer
    x = 8,238.15

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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.