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Finding the Fourth Proportional to 18,105, 27,162.78 and 7,717.80

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Solution

The fourth proportional to 18,105, 27,162.78 and 7,717.80 is: 11,578.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,105 : 27,162.78 = 7,717.80 : x
  2. Step 2: Convert to fraction form
    18,105/27,162.78 = 7,717.80/x
  3. Step 3: Cross multiply
    18,105x = 27,162.78 × 7,717.80
  4. Step 4: Simplify right side
    18,105x = 209,636,903.48
  5. Step 5: Solve for x
    x = 209,636,903.48/18,105
  6. Step 6: Final answer
    x = 11,578.95

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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.