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Finding the Fourth Proportional to 18,203.94, 27,312.59 and 7,676.61

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Solution

The fourth proportional to 18,203.94, 27,312.59 and 7,676.61 is: 11,517.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,203.94 : 27,312.59 = 7,676.61 : x
  2. Step 2: Convert to fraction form
    18,203.94/27,312.59 = 7,676.61/x
  3. Step 3: Cross multiply
    18,203.94x = 27,312.59 × 7,676.61
  4. Step 4: Simplify right side
    18,203.94x = 209,668,063.14
  5. Step 5: Solve for x
    x = 209,668,063.14/18,203.94
  6. Step 6: Final answer
    x = 11,517.73

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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.