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Finding the Fourth Proportional to 18,131.88, 27,192.06 and 5,817

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Solution

The fourth proportional to 18,131.88, 27,192.06 and 5,817 is: 8,723.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,131.88 : 27,192.06 = 5,817 : x
  2. Step 2: Convert to fraction form
    18,131.88/27,192.06 = 5,817/x
  3. Step 3: Cross multiply
    18,131.88x = 27,192.06 × 5,817
  4. Step 4: Simplify right side
    18,131.88x = 158,176,213.02
  5. Step 5: Solve for x
    x = 158,176,213.02/18,131.88
  6. Step 6: Final answer
    x = 8,723.65

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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.