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Finding the Fourth Proportional to 3,679.60, 5,074.20 and 3,260.08

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Solution

The fourth proportional to 3,679.60, 5,074.20 and 3,260.08 is: 4,495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.60 : 5,074.20 = 3,260.08 : x
  2. Step 2: Convert to fraction form
    3,679.60/5,074.20 = 3,260.08/x
  3. Step 3: Cross multiply
    3,679.60x = 5,074.20 × 3,260.08
  4. Step 4: Simplify right side
    3,679.60x = 16,542,297.94
  5. Step 5: Solve for x
    x = 16,542,297.94/3,679.60
  6. Step 6: Final answer
    x = 4,495.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.