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Finding the Fourth Proportional to 22,157.98, 30,562.38 and 13,198.54

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Solution

The fourth proportional to 22,157.98, 30,562.38 and 13,198.54 is: 18,204.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,157.98 : 30,562.38 = 13,198.54 : x
  2. Step 2: Convert to fraction form
    22,157.98/30,562.38 = 13,198.54/x
  3. Step 3: Cross multiply
    22,157.98x = 30,562.38 × 13,198.54
  4. Step 4: Simplify right side
    22,157.98x = 403,378,794.93
  5. Step 5: Solve for x
    x = 403,378,794.93/22,157.98
  6. Step 6: Final answer
    x = 18,204.67

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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.