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Finding the Fourth Proportional to 3,847.58, 5,768.63 and 1,974.03

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Solution

The fourth proportional to 3,847.58, 5,768.63 and 1,974.03 is: 2,959.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.58 : 5,768.63 = 1,974.03 : x
  2. Step 2: Convert to fraction form
    3,847.58/5,768.63 = 1,974.03/x
  3. Step 3: Cross multiply
    3,847.58x = 5,768.63 × 1,974.03
  4. Step 4: Simplify right side
    3,847.58x = 11,387,448.68
  5. Step 5: Solve for x
    x = 11,387,448.68/3,847.58
  6. Step 6: Final answer
    x = 2,959.64

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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.