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Finding the Fourth Proportional to 18,802, 25,946.94 and 10,418.68

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Solution

The fourth proportional to 18,802, 25,946.94 and 10,418.68 is: 14,377.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,802 : 25,946.94 = 10,418.68 : x
  2. Step 2: Convert to fraction form
    18,802/25,946.94 = 10,418.68/x
  3. Step 3: Cross multiply
    18,802x = 25,946.94 × 10,418.68
  4. Step 4: Simplify right side
    18,802x = 270,332,864.84
  5. Step 5: Solve for x
    x = 270,332,864.84/18,802
  6. Step 6: Final answer
    x = 14,377.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.