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Finding the Fourth Proportional to 27,803.84, 41,709.86 and 8,079.84

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Solution

The fourth proportional to 27,803.84, 41,709.86 and 8,079.84 is: 12,120.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,803.84 : 41,709.86 = 8,079.84 : x
  2. Step 2: Convert to fraction form
    27,803.84/41,709.86 = 8,079.84/x
  3. Step 3: Cross multiply
    27,803.84x = 41,709.86 × 8,079.84
  4. Step 4: Simplify right side
    27,803.84x = 337,008,995.22
  5. Step 5: Solve for x
    x = 337,008,995.22/27,803.84
  6. Step 6: Final answer
    x = 12,120.95

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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.