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Finding the Fourth Proportional to 12,388.65, 18,592.09 and 8,227.27

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Solution

The fourth proportional to 12,388.65, 18,592.09 and 8,227.27 is: 12,346.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,388.65 : 18,592.09 = 8,227.27 : x
  2. Step 2: Convert to fraction form
    12,388.65/18,592.09 = 8,227.27/x
  3. Step 3: Cross multiply
    12,388.65x = 18,592.09 × 8,227.27
  4. Step 4: Simplify right side
    12,388.65x = 152,962,146.97
  5. Step 5: Solve for x
    x = 152,962,146.97/12,388.65
  6. Step 6: Final answer
    x = 12,346.96

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1.5x scale

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.