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Finding the Fourth Proportional to 12,491.42, 17,252.33 and 8,505.61

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Solution

The fourth proportional to 12,491.42, 17,252.33 and 8,505.61 is: 11,747.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.42 : 17,252.33 = 8,505.61 : x
  2. Step 2: Convert to fraction form
    12,491.42/17,252.33 = 8,505.61/x
  3. Step 3: Cross multiply
    12,491.42x = 17,252.33 × 8,505.61
  4. Step 4: Simplify right side
    12,491.42x = 146,741,504.91
  5. Step 5: Solve for x
    x = 146,741,504.91/12,491.42
  6. Step 6: Final answer
    x = 11,747.39

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Why These Related Problems?

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