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Finding the Fourth Proportional to 18,456.61, 27,684.99 and 6,769.83

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Solution

The fourth proportional to 18,456.61, 27,684.99 and 6,769.83 is: 10,154.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,456.61 : 27,684.99 = 6,769.83 : x
  2. Step 2: Convert to fraction form
    18,456.61/27,684.99 = 6,769.83/x
  3. Step 3: Cross multiply
    18,456.61x = 27,684.99 × 6,769.83
  4. Step 4: Simplify right side
    18,456.61x = 187,422,623.94
  5. Step 5: Solve for x
    x = 187,422,623.94/18,456.61
  6. Step 6: Final answer
    x = 10,154.77

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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.