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Finding the Fourth Proportional to 8,492.76, 12,738.24 and 5,200.11

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Solution

The fourth proportional to 8,492.76, 12,738.24 and 5,200.11 is: 7,799.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.76 : 12,738.24 = 5,200.11 : x
  2. Step 2: Convert to fraction form
    8,492.76/12,738.24 = 5,200.11/x
  3. Step 3: Cross multiply
    8,492.76x = 12,738.24 × 5,200.11
  4. Step 4: Simplify right side
    8,492.76x = 66,240,249.21
  5. Step 5: Solve for x
    x = 66,240,249.21/8,492.76
  6. Step 6: Final answer
    x = 7,799.61

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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.