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Finding the Fourth Proportional to 8,211.92, 12,314.16 and 3,830.63

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Solution

The fourth proportional to 8,211.92, 12,314.16 and 3,830.63 is: 5,744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.92 : 12,314.16 = 3,830.63 : x
  2. Step 2: Convert to fraction form
    8,211.92/12,314.16 = 3,830.63/x
  3. Step 3: Cross multiply
    8,211.92x = 12,314.16 × 3,830.63
  4. Step 4: Simplify right side
    8,211.92x = 47,170,929.15
  5. Step 5: Solve for x
    x = 47,170,929.15/8,211.92
  6. Step 6: Final answer
    x = 5,744.21

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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.