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Finding the Fourth Proportional to 3,293.55, 4,940.33 and 828.37

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Solution

The fourth proportional to 3,293.55, 4,940.33 and 828.37 is: 1,242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.55 : 4,940.33 = 828.37 : x
  2. Step 2: Convert to fraction form
    3,293.55/4,940.33 = 828.37/x
  3. Step 3: Cross multiply
    3,293.55x = 4,940.33 × 828.37
  4. Step 4: Simplify right side
    3,293.55x = 4,092,421.16
  5. Step 5: Solve for x
    x = 4,092,421.16/3,293.55
  6. Step 6: Final answer
    x = 1,242.56

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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.