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Finding the Fourth Proportional to 3,293.90, 4,940.73 and 828.73

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Solution

The fourth proportional to 3,293.90, 4,940.73 and 828.73 is: 1,243.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.90 : 4,940.73 = 828.73 : x
  2. Step 2: Convert to fraction form
    3,293.90/4,940.73 = 828.73/x
  3. Step 3: Cross multiply
    3,293.90x = 4,940.73 × 828.73
  4. Step 4: Simplify right side
    3,293.90x = 4,094,537.35
  5. Step 5: Solve for x
    x = 4,094,537.35/3,293.90
  6. Step 6: Final answer
    x = 1,243.07

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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.