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Finding the Fourth Proportional to 18,634.97, 27,942.08 and 9,728.01

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Solution

The fourth proportional to 18,634.97, 27,942.08 and 9,728.01 is: 14,586.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,634.97 : 27,942.08 = 9,728.01 : x
  2. Step 2: Convert to fraction form
    18,634.97/27,942.08 = 9,728.01/x
  3. Step 3: Cross multiply
    18,634.97x = 27,942.08 × 9,728.01
  4. Step 4: Simplify right side
    18,634.97x = 271,820,833.66
  5. Step 5: Solve for x
    x = 271,820,833.66/18,634.97
  6. Step 6: Final answer
    x = 14,586.60

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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.