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Finding the Fourth Proportional to 2,863, 3,950.94 and 1,621

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Solution

The fourth proportional to 2,863, 3,950.94 and 1,621 is: 2,236.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863 : 3,950.94 = 1,621 : x
  2. Step 2: Convert to fraction form
    2,863/3,950.94 = 1,621/x
  3. Step 3: Cross multiply
    2,863x = 3,950.94 × 1,621
  4. Step 4: Simplify right side
    2,863x = 6,404,473.74
  5. Step 5: Solve for x
    x = 6,404,473.74/2,863
  6. Step 6: Final answer
    x = 2,236.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.