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Finding the Fourth Proportional to 3,286, 4,920.99 and 1,727.29

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Solution

The fourth proportional to 3,286, 4,920.99 and 1,727.29 is: 2,586.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286 : 4,920.99 = 1,727.29 : x
  2. Step 2: Convert to fraction form
    3,286/4,920.99 = 1,727.29/x
  3. Step 3: Cross multiply
    3,286x = 4,920.99 × 1,727.29
  4. Step 4: Simplify right side
    3,286x = 8,499,976.82
  5. Step 5: Solve for x
    x = 8,499,976.82/3,286
  6. Step 6: Final answer
    x = 2,586.72

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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.