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Finding the Fourth Proportional to 7,844, 11,771.40 and 3,227

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Solution

The fourth proportional to 7,844, 11,771.40 and 3,227 is: 4,842.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844 : 11,771.40 = 3,227 : x
  2. Step 2: Convert to fraction form
    7,844/11,771.40 = 3,227/x
  3. Step 3: Cross multiply
    7,844x = 11,771.40 × 3,227
  4. Step 4: Simplify right side
    7,844x = 37,986,307.80
  5. Step 5: Solve for x
    x = 37,986,307.80/7,844
  6. Step 6: Final answer
    x = 4,842.72

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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.