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Finding the Fourth Proportional to 7,940.76, 11,912.94 and 2,746.68

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Solution

The fourth proportional to 7,940.76, 11,912.94 and 2,746.68 is: 4,120.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.76 : 11,912.94 = 2,746.68 : x
  2. Step 2: Convert to fraction form
    7,940.76/11,912.94 = 2,746.68/x
  3. Step 3: Cross multiply
    7,940.76x = 11,912.94 × 2,746.68
  4. Step 4: Simplify right side
    7,940.76x = 32,721,034.04
  5. Step 5: Solve for x
    x = 32,721,034.04/7,940.76
  6. Step 6: Final answer
    x = 4,120.64

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1.5x scale

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.