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Finding the Fourth Proportional to 7,894.27, 11,838.31 and 2,961.22

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Solution

The fourth proportional to 7,894.27, 11,838.31 and 2,961.22 is: 4,440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.27 : 11,838.31 = 2,961.22 : x
  2. Step 2: Convert to fraction form
    7,894.27/11,838.31 = 2,961.22/x
  3. Step 3: Cross multiply
    7,894.27x = 11,838.31 × 2,961.22
  4. Step 4: Simplify right side
    7,894.27x = 35,055,825.53
  5. Step 5: Solve for x
    x = 35,055,825.53/7,894.27
  6. Step 6: Final answer
    x = 4,440.67

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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.