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Finding the Fourth Proportional to 3,894.76, 5,843.04 and 1,121.47

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Solution

The fourth proportional to 3,894.76, 5,843.04 and 1,121.47 is: 1,682.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.76 : 5,843.04 = 1,121.47 : x
  2. Step 2: Convert to fraction form
    3,894.76/5,843.04 = 1,121.47/x
  3. Step 3: Cross multiply
    3,894.76x = 5,843.04 × 1,121.47
  4. Step 4: Simplify right side
    3,894.76x = 6,552,794.07
  5. Step 5: Solve for x
    x = 6,552,794.07/3,894.76
  6. Step 6: Final answer
    x = 1,682.46

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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.