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Finding the Fourth Proportional to 11,491.14, 17,222.34 and 4,909.62

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Solution

The fourth proportional to 11,491.14, 17,222.34 and 4,909.62 is: 7,358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.14 : 17,222.34 = 4,909.62 : x
  2. Step 2: Convert to fraction form
    11,491.14/17,222.34 = 4,909.62/x
  3. Step 3: Cross multiply
    11,491.14x = 17,222.34 × 4,909.62
  4. Step 4: Simplify right side
    11,491.14x = 84,555,144.91
  5. Step 5: Solve for x
    x = 84,555,144.91/11,491.14
  6. Step 6: Final answer
    x = 7,358.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.