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Finding the Fourth Proportional to 18,643.25, 27,972.17 and 6,957.38

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Solution

The fourth proportional to 18,643.25, 27,972.17 and 6,957.38 is: 10,438.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,643.25 : 27,972.17 = 6,957.38 : x
  2. Step 2: Convert to fraction form
    18,643.25/27,972.17 = 6,957.38/x
  3. Step 3: Cross multiply
    18,643.25x = 27,972.17 × 6,957.38
  4. Step 4: Simplify right side
    18,643.25x = 194,612,841.47
  5. Step 5: Solve for x
    x = 194,612,841.47/18,643.25
  6. Step 6: Final answer
    x = 10,438.79

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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.