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Finding the Fourth Proportional to 8,209.65, 12,305.01 and 3,522.69

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Solution

The fourth proportional to 8,209.65, 12,305.01 and 3,522.69 is: 5,279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.65 : 12,305.01 = 3,522.69 : x
  2. Step 2: Convert to fraction form
    8,209.65/12,305.01 = 3,522.69/x
  3. Step 3: Cross multiply
    8,209.65x = 12,305.01 × 3,522.69
  4. Step 4: Simplify right side
    8,209.65x = 43,346,748.89
  5. Step 5: Solve for x
    x = 43,346,748.89/8,209.65
  6. Step 6: Final answer
    x = 5,279.97

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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.