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Finding the Fourth Proportional to 18,267, 27,401.85 and 13,367.58

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Solution

The fourth proportional to 18,267, 27,401.85 and 13,367.58 is: 20,052.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,267 : 27,401.85 = 13,367.58 : x
  2. Step 2: Convert to fraction form
    18,267/27,401.85 = 13,367.58/x
  3. Step 3: Cross multiply
    18,267x = 27,401.85 × 13,367.58
  4. Step 4: Simplify right side
    18,267x = 366,296,422.02
  5. Step 5: Solve for x
    x = 366,296,422.02/18,267
  6. Step 6: Final answer
    x = 20,052.36

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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.