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Finding the Fourth Proportional to 2,893.25, 4,339.79 and 813.27

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Solution

The fourth proportional to 2,893.25, 4,339.79 and 813.27 is: 1,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.25 : 4,339.79 = 813.27 : x
  2. Step 2: Convert to fraction form
    2,893.25/4,339.79 = 813.27/x
  3. Step 3: Cross multiply
    2,893.25x = 4,339.79 × 813.27
  4. Step 4: Simplify right side
    2,893.25x = 3,529,416.95
  5. Step 5: Solve for x
    x = 3,529,416.95/2,893.25
  6. Step 6: Final answer
    x = 1,219.88

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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.