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Finding the Fourth Proportional to 11,459.16, 17,186 and 8,375.48

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Solution

The fourth proportional to 11,459.16, 17,186 and 8,375.48 is: 12,561.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.16 : 17,186 = 8,375.48 : x
  2. Step 2: Convert to fraction form
    11,459.16/17,186 = 8,375.48/x
  3. Step 3: Cross multiply
    11,459.16x = 17,186 × 8,375.48
  4. Step 4: Simplify right side
    11,459.16x = 143,940,999.28
  5. Step 5: Solve for x
    x = 143,940,999.28/11,459.16
  6. Step 6: Final answer
    x = 12,561.22

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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.