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Finding the Fourth Proportional to 17,967.64, 26,960 and 8,109.96

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Solution

The fourth proportional to 17,967.64, 26,960 and 8,109.96 is: 12,168.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,967.64 : 26,960 = 8,109.96 : x
  2. Step 2: Convert to fraction form
    17,967.64/26,960 = 8,109.96/x
  3. Step 3: Cross multiply
    17,967.64x = 26,960 × 8,109.96
  4. Step 4: Simplify right side
    17,967.64x = 218,644,521.60
  5. Step 5: Solve for x
    x = 218,644,521.60/17,967.64
  6. Step 6: Final answer
    x = 12,168.79

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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.