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Finding the Fourth Proportional to 12,194, 18,290.20 and 6,353.92

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Solution

The fourth proportional to 12,194, 18,290.20 and 6,353.92 is: 9,530.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194 : 18,290.20 = 6,353.92 : x
  2. Step 2: Convert to fraction form
    12,194/18,290.20 = 6,353.92/x
  3. Step 3: Cross multiply
    12,194x = 18,290.20 × 6,353.92
  4. Step 4: Simplify right side
    12,194x = 116,214,467.58
  5. Step 5: Solve for x
    x = 116,214,467.58/12,194
  6. Step 6: Final answer
    x = 9,530.46

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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.