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Finding the Fourth Proportional to 8,482.69, 12,725.11 and 3,219.54

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Solution

The fourth proportional to 8,482.69, 12,725.11 and 3,219.54 is: 4,829.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.69 : 12,725.11 = 3,219.54 : x
  2. Step 2: Convert to fraction form
    8,482.69/12,725.11 = 3,219.54/x
  3. Step 3: Cross multiply
    8,482.69x = 12,725.11 × 3,219.54
  4. Step 4: Simplify right side
    8,482.69x = 40,968,956.95
  5. Step 5: Solve for x
    x = 40,968,956.95/8,482.69
  6. Step 6: Final answer
    x = 4,829.71

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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.