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Finding the Fourth Proportional to 8,084.66, 12,132.55 and 2,819.71

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Solution

The fourth proportional to 8,084.66, 12,132.55 and 2,819.71 is: 4,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084.66 : 12,132.55 = 2,819.71 : x
  2. Step 2: Convert to fraction form
    8,084.66/12,132.55 = 2,819.71/x
  3. Step 3: Cross multiply
    8,084.66x = 12,132.55 × 2,819.71
  4. Step 4: Simplify right side
    8,084.66x = 34,210,272.56
  5. Step 5: Solve for x
    x = 34,210,272.56/8,084.66
  6. Step 6: Final answer
    x = 4,231.50

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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.