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Finding the Fourth Proportional to 8,685, 13,033.32 and 3,213

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Solution

The fourth proportional to 8,685, 13,033.32 and 3,213 is: 4,821.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,685 : 13,033.32 = 3,213 : x
  2. Step 2: Convert to fraction form
    8,685/13,033.32 = 3,213/x
  3. Step 3: Cross multiply
    8,685x = 13,033.32 × 3,213
  4. Step 4: Simplify right side
    8,685x = 41,876,057.16
  5. Step 5: Solve for x
    x = 41,876,057.16/8,685
  6. Step 6: Final answer
    x = 4,821.65

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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.