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Finding the Fourth Proportional to 9,198, 13,801.57 and 3,651.21

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Solution

The fourth proportional to 9,198, 13,801.57 and 3,651.21 is: 5,478.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198 : 13,801.57 = 3,651.21 : x
  2. Step 2: Convert to fraction form
    9,198/13,801.57 = 3,651.21/x
  3. Step 3: Cross multiply
    9,198x = 13,801.57 × 3,651.21
  4. Step 4: Simplify right side
    9,198x = 50,392,421.27
  5. Step 5: Solve for x
    x = 50,392,421.27/9,198
  6. Step 6: Final answer
    x = 5,478.63

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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.