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Finding the Fourth Proportional to 18,530.86, 27,776.36 and 8,005.84

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Solution

The fourth proportional to 18,530.86, 27,776.36 and 8,005.84 is: 12,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,530.86 : 27,776.36 = 8,005.84 : x
  2. Step 2: Convert to fraction form
    18,530.86/27,776.36 = 8,005.84/x
  3. Step 3: Cross multiply
    18,530.86x = 27,776.36 × 8,005.84
  4. Step 4: Simplify right side
    18,530.86x = 222,373,093.94
  5. Step 5: Solve for x
    x = 222,373,093.94/18,530.86
  6. Step 6: Final answer
    x = 12,000.15

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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.