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Finding the Fourth Proportional to 11,872.14, 17,808 and 3,552.18

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Solution

The fourth proportional to 11,872.14, 17,808 and 3,552.18 is: 5,328.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.14 : 17,808 = 3,552.18 : x
  2. Step 2: Convert to fraction form
    11,872.14/17,808 = 3,552.18/x
  3. Step 3: Cross multiply
    11,872.14x = 17,808 × 3,552.18
  4. Step 4: Simplify right side
    11,872.14x = 63,257,221.44
  5. Step 5: Solve for x
    x = 63,257,221.44/11,872.14
  6. Step 6: Final answer
    x = 5,328.21

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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.