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Finding the Fourth Proportional to 7,838.19, 11,749.19 and 3,940.47

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Solution

The fourth proportional to 7,838.19, 11,749.19 and 3,940.47 is: 5,906.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.19 : 11,749.19 = 3,940.47 : x
  2. Step 2: Convert to fraction form
    7,838.19/11,749.19 = 3,940.47/x
  3. Step 3: Cross multiply
    7,838.19x = 11,749.19 × 3,940.47
  4. Step 4: Simplify right side
    7,838.19x = 46,297,311.02
  5. Step 5: Solve for x
    x = 46,297,311.02/7,838.19
  6. Step 6: Final answer
    x = 5,906.63

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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.