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Finding the Fourth Proportional to 18,005.46, 27,008.14 and 6,906.07

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Solution

The fourth proportional to 18,005.46, 27,008.14 and 6,906.07 is: 10,359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,005.46 : 27,008.14 = 6,906.07 : x
  2. Step 2: Convert to fraction form
    18,005.46/27,008.14 = 6,906.07/x
  3. Step 3: Cross multiply
    18,005.46x = 27,008.14 × 6,906.07
  4. Step 4: Simplify right side
    18,005.46x = 186,520,105.41
  5. Step 5: Solve for x
    x = 186,520,105.41/18,005.46
  6. Step 6: Final answer
    x = 10,359.09

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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.