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Finding the Fourth Proportional to 27,199.50, 40,805.10 and 8,479.14

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Solution

The fourth proportional to 27,199.50, 40,805.10 and 8,479.14 is: 12,720.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,199.50 : 40,805.10 = 8,479.14 : x
  2. Step 2: Convert to fraction form
    27,199.50/40,805.10 = 8,479.14/x
  3. Step 3: Cross multiply
    27,199.50x = 40,805.10 × 8,479.14
  4. Step 4: Simplify right side
    27,199.50x = 345,992,155.61
  5. Step 5: Solve for x
    x = 345,992,155.61/27,199.50
  6. Step 6: Final answer
    x = 12,720.53

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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.