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Finding the Fourth Proportional to 8,506.22, 12,750.21 and 3,819.83

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Solution

The fourth proportional to 8,506.22, 12,750.21 and 3,819.83 is: 5,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.22 : 12,750.21 = 3,819.83 : x
  2. Step 2: Convert to fraction form
    8,506.22/12,750.21 = 3,819.83/x
  3. Step 3: Cross multiply
    8,506.22x = 12,750.21 × 3,819.83
  4. Step 4: Simplify right side
    8,506.22x = 48,703,570.91
  5. Step 5: Solve for x
    x = 48,703,570.91/8,506.22
  6. Step 6: Final answer
    x = 5,725.65

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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.