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Finding the Fourth Proportional to 18,188.10, 27,270 and 14,682.42

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Solution

The fourth proportional to 18,188.10, 27,270 and 14,682.42 is: 22,013.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,188.10 : 27,270 = 14,682.42 : x
  2. Step 2: Convert to fraction form
    18,188.10/27,270 = 14,682.42/x
  3. Step 3: Cross multiply
    18,188.10x = 27,270 × 14,682.42
  4. Step 4: Simplify right side
    18,188.10x = 400,389,593.40
  5. Step 5: Solve for x
    x = 400,389,593.40/18,188.10
  6. Step 6: Final answer
    x = 22,013.82

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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.