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Finding the Fourth Proportional to 18,490.78, 27,736.17 and 6,178.78

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Solution

The fourth proportional to 18,490.78, 27,736.17 and 6,178.78 is: 9,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,490.78 : 27,736.17 = 6,178.78 : x
  2. Step 2: Convert to fraction form
    18,490.78/27,736.17 = 6,178.78/x
  3. Step 3: Cross multiply
    18,490.78x = 27,736.17 × 6,178.78
  4. Step 4: Simplify right side
    18,490.78x = 171,375,738.73
  5. Step 5: Solve for x
    x = 171,375,738.73/18,490.78
  6. Step 6: Final answer
    x = 9,268.17

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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.