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Finding the Fourth Proportional to 7,940.16, 11,911.86 and 2,746.44

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Solution

The fourth proportional to 7,940.16, 11,911.86 and 2,746.44 is: 4,120.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.16 : 11,911.86 = 2,746.44 : x
  2. Step 2: Convert to fraction form
    7,940.16/11,911.86 = 2,746.44/x
  3. Step 3: Cross multiply
    7,940.16x = 11,911.86 × 2,746.44
  4. Step 4: Simplify right side
    7,940.16x = 32,715,208.78
  5. Step 5: Solve for x
    x = 32,715,208.78/7,940.16
  6. Step 6: Final answer
    x = 4,120.22

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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.