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Finding the Fourth Proportional to 27,803.40, 41,701.05 and 8,079.90

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Solution

The fourth proportional to 27,803.40, 41,701.05 and 8,079.90 is: 12,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,803.40 : 41,701.05 = 8,079.90 : x
  2. Step 2: Convert to fraction form
    27,803.40/41,701.05 = 8,079.90/x
  3. Step 3: Cross multiply
    27,803.40x = 41,701.05 × 8,079.90
  4. Step 4: Simplify right side
    27,803.40x = 336,940,313.90
  5. Step 5: Solve for x
    x = 336,940,313.90/27,803.40
  6. Step 6: Final answer
    x = 12,118.67

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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.