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Finding the Fourth Proportional to 3,180.74, 4,764.69 and 1,791.99

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Solution

The fourth proportional to 3,180.74, 4,764.69 and 1,791.99 is: 2,684.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.74 : 4,764.69 = 1,791.99 : x
  2. Step 2: Convert to fraction form
    3,180.74/4,764.69 = 1,791.99/x
  3. Step 3: Cross multiply
    3,180.74x = 4,764.69 × 1,791.99
  4. Step 4: Simplify right side
    3,180.74x = 8,538,276.83
  5. Step 5: Solve for x
    x = 8,538,276.83/3,180.74
  6. Step 6: Final answer
    x = 2,684.37

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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.