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Finding the Fourth Proportional to 8,940.38, 13,410.56 and 2,784.38

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Solution

The fourth proportional to 8,940.38, 13,410.56 and 2,784.38 is: 4,176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,940.38 : 13,410.56 = 2,784.38 : x
  2. Step 2: Convert to fraction form
    8,940.38/13,410.56 = 2,784.38/x
  3. Step 3: Cross multiply
    8,940.38x = 13,410.56 × 2,784.38
  4. Step 4: Simplify right side
    8,940.38x = 37,340,034.96
  5. Step 5: Solve for x
    x = 37,340,034.96/8,940.38
  6. Step 6: Final answer
    x = 4,176.56

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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.