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Finding the Fourth Proportional to 5,178.74, 7,768.24 and 1,481.02

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Solution

The fourth proportional to 5,178.74, 7,768.24 and 1,481.02 is: 2,221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.74 : 7,768.24 = 1,481.02 : x
  2. Step 2: Convert to fraction form
    5,178.74/7,768.24 = 1,481.02/x
  3. Step 3: Cross multiply
    5,178.74x = 7,768.24 × 1,481.02
  4. Step 4: Simplify right side
    5,178.74x = 11,504,895.68
  5. Step 5: Solve for x
    x = 11,504,895.68/5,178.74
  6. Step 6: Final answer
    x = 2,221.56

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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.