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Finding the Fourth Proportional to 18,514.52, 27,747.94 and 6,813.88

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Solution

The fourth proportional to 18,514.52, 27,747.94 and 6,813.88 is: 10,212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,514.52 : 27,747.94 = 6,813.88 : x
  2. Step 2: Convert to fraction form
    18,514.52/27,747.94 = 6,813.88/x
  3. Step 3: Cross multiply
    18,514.52x = 27,747.94 × 6,813.88
  4. Step 4: Simplify right side
    18,514.52x = 189,071,133.41
  5. Step 5: Solve for x
    x = 189,071,133.41/18,514.52
  6. Step 6: Final answer
    x = 10,212.05

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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.