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Finding the Fourth Proportional to 3,894.52, 5,843.16 and 1,297.48

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Solution

The fourth proportional to 3,894.52, 5,843.16 and 1,297.48 is: 1,946.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.52 : 5,843.16 = 1,297.48 : x
  2. Step 2: Convert to fraction form
    3,894.52/5,843.16 = 1,297.48/x
  3. Step 3: Cross multiply
    3,894.52x = 5,843.16 × 1,297.48
  4. Step 4: Simplify right side
    3,894.52x = 7,581,383.24
  5. Step 5: Solve for x
    x = 7,581,383.24/3,894.52
  6. Step 6: Final answer
    x = 1,946.68

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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.