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Finding the Fourth Proportional to 8,641, 12,967.26 and 3,169

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Solution

The fourth proportional to 8,641, 12,967.26 and 3,169 is: 4,755.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641 : 12,967.26 = 3,169 : x
  2. Step 2: Convert to fraction form
    8,641/12,967.26 = 3,169/x
  3. Step 3: Cross multiply
    8,641x = 12,967.26 × 3,169
  4. Step 4: Simplify right side
    8,641x = 41,093,246.94
  5. Step 5: Solve for x
    x = 41,093,246.94/8,641
  6. Step 6: Final answer
    x = 4,755.61

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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.