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Finding the Fourth Proportional to 2,896.27, 4,344.06 and 816.43

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Solution

The fourth proportional to 2,896.27, 4,344.06 and 816.43 is: 1,224.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.27 : 4,344.06 = 816.43 : x
  2. Step 2: Convert to fraction form
    2,896.27/4,344.06 = 816.43/x
  3. Step 3: Cross multiply
    2,896.27x = 4,344.06 × 816.43
  4. Step 4: Simplify right side
    2,896.27x = 3,546,620.91
  5. Step 5: Solve for x
    x = 3,546,620.91/2,896.27
  6. Step 6: Final answer
    x = 1,224.55

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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.