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Finding the Fourth Proportional to 7,894.42, 11,839.10 and 4,194.54

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Solution

The fourth proportional to 7,894.42, 11,839.10 and 4,194.54 is: 6,290.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.42 : 11,839.10 = 4,194.54 : x
  2. Step 2: Convert to fraction form
    7,894.42/11,839.10 = 4,194.54/x
  3. Step 3: Cross multiply
    7,894.42x = 11,839.10 × 4,194.54
  4. Step 4: Simplify right side
    7,894.42x = 49,659,557.54
  5. Step 5: Solve for x
    x = 49,659,557.54/7,894.42
  6. Step 6: Final answer
    x = 6,290.47

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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.