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Finding the Fourth Proportional to 3,894.53, 5,842.67 and 1,121.22

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Solution

The fourth proportional to 3,894.53, 5,842.67 and 1,121.22 is: 1,682.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.53 : 5,842.67 = 1,121.22 : x
  2. Step 2: Convert to fraction form
    3,894.53/5,842.67 = 1,121.22/x
  3. Step 3: Cross multiply
    3,894.53x = 5,842.67 × 1,121.22
  4. Step 4: Simplify right side
    3,894.53x = 6,550,912.85
  5. Step 5: Solve for x
    x = 6,550,912.85/3,894.53
  6. Step 6: Final answer
    x = 1,682.08

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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.