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Finding the Fourth Proportional to 18,653.13, 27,978.78 and 6,965.44

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Solution

The fourth proportional to 18,653.13, 27,978.78 and 6,965.44 is: 10,447.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,653.13 : 27,978.78 = 6,965.44 : x
  2. Step 2: Convert to fraction form
    18,653.13/27,978.78 = 6,965.44/x
  3. Step 3: Cross multiply
    18,653.13x = 27,978.78 × 6,965.44
  4. Step 4: Simplify right side
    18,653.13x = 194,884,469.54
  5. Step 5: Solve for x
    x = 194,884,469.54/18,653.13
  6. Step 6: Final answer
    x = 10,447.82

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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.