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Finding the Fourth Proportional to 7,872.48, 11,800.62 and 3,492

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Solution

The fourth proportional to 7,872.48, 11,800.62 and 3,492 is: 5,234.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.48 : 11,800.62 = 3,492 : x
  2. Step 2: Convert to fraction form
    7,872.48/11,800.62 = 3,492/x
  3. Step 3: Cross multiply
    7,872.48x = 11,800.62 × 3,492
  4. Step 4: Simplify right side
    7,872.48x = 41,207,765.04
  5. Step 5: Solve for x
    x = 41,207,765.04/7,872.48
  6. Step 6: Final answer
    x = 5,234.41

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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.