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Finding the Fourth Proportional to 8,486.91, 12,737.66 and 3,296.43

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Solution

The fourth proportional to 8,486.91, 12,737.66 and 3,296.43 is: 4,947.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.91 : 12,737.66 = 3,296.43 : x
  2. Step 2: Convert to fraction form
    8,486.91/12,737.66 = 3,296.43/x
  3. Step 3: Cross multiply
    8,486.91x = 12,737.66 × 3,296.43
  4. Step 4: Simplify right side
    8,486.91x = 41,988,788.07
  5. Step 5: Solve for x
    x = 41,988,788.07/8,486.91
  6. Step 6: Final answer
    x = 4,947.48

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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.