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Finding the Fourth Proportional to 12,201, 18,290.64 and 4,408.08

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Solution

The fourth proportional to 12,201, 18,290.64 and 4,408.08 is: 6,608.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201 : 18,290.64 = 4,408.08 : x
  2. Step 2: Convert to fraction form
    12,201/18,290.64 = 4,408.08/x
  3. Step 3: Cross multiply
    12,201x = 18,290.64 × 4,408.08
  4. Step 4: Simplify right side
    12,201x = 80,626,604.37
  5. Step 5: Solve for x
    x = 80,626,604.37/12,201
  6. Step 6: Final answer
    x = 6,608.20

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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.