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Finding the Fourth Proportional to 18,634.50, 27,952.20 and 6,945.42

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Solution

The fourth proportional to 18,634.50, 27,952.20 and 6,945.42 is: 10,418.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,634.50 : 27,952.20 = 6,945.42 : x
  2. Step 2: Convert to fraction form
    18,634.50/27,952.20 = 6,945.42/x
  3. Step 3: Cross multiply
    18,634.50x = 27,952.20 × 6,945.42
  4. Step 4: Simplify right side
    18,634.50x = 194,139,768.92
  5. Step 5: Solve for x
    x = 194,139,768.92/18,634.50
  6. Step 6: Final answer
    x = 10,418.30

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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.