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Finding the Fourth Proportional to 8,144, 12,209.84 and 3,211.04

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Solution

The fourth proportional to 8,144, 12,209.84 and 3,211.04 is: 4,814.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144 : 12,209.84 = 3,211.04 : x
  2. Step 2: Convert to fraction form
    8,144/12,209.84 = 3,211.04/x
  3. Step 3: Cross multiply
    8,144x = 12,209.84 × 3,211.04
  4. Step 4: Simplify right side
    8,144x = 39,206,284.63
  5. Step 5: Solve for x
    x = 39,206,284.63/8,144
  6. Step 6: Final answer
    x = 4,814.13

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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.