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Finding the Fourth Proportional to 1,336.34, 1,843.62 and 893.54

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Solution

The fourth proportional to 1,336.34, 1,843.62 and 893.54 is: 1,232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.34 : 1,843.62 = 893.54 : x
  2. Step 2: Convert to fraction form
    1,336.34/1,843.62 = 893.54/x
  3. Step 3: Cross multiply
    1,336.34x = 1,843.62 × 893.54
  4. Step 4: Simplify right side
    1,336.34x = 1,647,348.21
  5. Step 5: Solve for x
    x = 1,647,348.21/1,336.34
  6. Step 6: Final answer
    x = 1,232.73

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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.