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Finding the Fourth Proportional to 12,198.38, 16,832.82 and 7,417.67

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Solution

The fourth proportional to 12,198.38, 16,832.82 and 7,417.67 is: 10,235.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.38 : 16,832.82 = 7,417.67 : x
  2. Step 2: Convert to fraction form
    12,198.38/16,832.82 = 7,417.67/x
  3. Step 3: Cross multiply
    12,198.38x = 16,832.82 × 7,417.67
  4. Step 4: Simplify right side
    12,198.38x = 124,860,247.58
  5. Step 5: Solve for x
    x = 124,860,247.58/12,198.38
  6. Step 6: Final answer
    x = 10,235.81

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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.