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Finding the Fourth Proportional to 11,718, 17,581.32 and 6,171.12

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Solution

The fourth proportional to 11,718, 17,581.32 and 6,171.12 is: 9,258.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,718 : 17,581.32 = 6,171.12 : x
  2. Step 2: Convert to fraction form
    11,718/17,581.32 = 6,171.12/x
  3. Step 3: Cross multiply
    11,718x = 17,581.32 × 6,171.12
  4. Step 4: Simplify right side
    11,718x = 108,496,435.48
  5. Step 5: Solve for x
    x = 108,496,435.48/11,718
  6. Step 6: Final answer
    x = 9,258.96

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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.