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Finding the Fourth Proportional to 7,784.02, 11,676.24 and 1,940.68

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Solution

The fourth proportional to 7,784.02, 11,676.24 and 1,940.68 is: 2,911.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.02 : 11,676.24 = 1,940.68 : x
  2. Step 2: Convert to fraction form
    7,784.02/11,676.24 = 1,940.68/x
  3. Step 3: Cross multiply
    7,784.02x = 11,676.24 × 1,940.68
  4. Step 4: Simplify right side
    7,784.02x = 22,659,845.44
  5. Step 5: Solve for x
    x = 22,659,845.44/7,784.02
  6. Step 6: Final answer
    x = 2,911.07

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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.