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Finding the Fourth Proportional to 18,647, 27,961.38 and 8,777.96

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Solution

The fourth proportional to 18,647, 27,961.38 and 8,777.96 is: 13,162.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,647 : 27,961.38 = 8,777.96 : x
  2. Step 2: Convert to fraction form
    18,647/27,961.38 = 8,777.96/x
  3. Step 3: Cross multiply
    18,647x = 27,961.38 × 8,777.96
  4. Step 4: Simplify right side
    18,647x = 245,443,875.18
  5. Step 5: Solve for x
    x = 245,443,875.18/18,647
  6. Step 6: Final answer
    x = 13,162.65

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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.