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Finding the Fourth Proportional to 8,478.82, 12,718.56 and 3,213.28

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Solution

The fourth proportional to 8,478.82, 12,718.56 and 3,213.28 is: 4,820.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.82 : 12,718.56 = 3,213.28 : x
  2. Step 2: Convert to fraction form
    8,478.82/12,718.56 = 3,213.28/x
  3. Step 3: Cross multiply
    8,478.82x = 12,718.56 × 3,213.28
  4. Step 4: Simplify right side
    8,478.82x = 40,868,230.88
  5. Step 5: Solve for x
    x = 40,868,230.88/8,478.82
  6. Step 6: Final answer
    x = 4,820.04

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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.