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Finding the Fourth Proportional to 18,511.86, 27,767.82 and 6,199.86

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Solution

The fourth proportional to 18,511.86, 27,767.82 and 6,199.86 is: 9,299.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,511.86 : 27,767.82 = 6,199.86 : x
  2. Step 2: Convert to fraction form
    18,511.86/27,767.82 = 6,199.86/x
  3. Step 3: Cross multiply
    18,511.86x = 27,767.82 × 6,199.86
  4. Step 4: Simplify right side
    18,511.86x = 172,156,596.51
  5. Step 5: Solve for x
    x = 172,156,596.51/18,511.86
  6. Step 6: Final answer
    x = 9,299.80

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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.