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Finding the Fourth Proportional to 18,633, 27,949.50 and 4,782

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Solution

The fourth proportional to 18,633, 27,949.50 and 4,782 is: 7,173

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,633 : 27,949.50 = 4,782 : x
  2. Step 2: Convert to fraction form
    18,633/27,949.50 = 4,782/x
  3. Step 3: Cross multiply
    18,633x = 27,949.50 × 4,782
  4. Step 4: Simplify right side
    18,633x = 133,654,509
  5. Step 5: Solve for x
    x = 133,654,509/18,633
  6. Step 6: Final answer
    x = 7,173

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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.