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Finding the Fourth Proportional to 12,234.63, 16,883.81 and 6,645.63

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Solution

The fourth proportional to 12,234.63, 16,883.81 and 6,645.63 is: 9,170.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.63 : 16,883.81 = 6,645.63 : x
  2. Step 2: Convert to fraction form
    12,234.63/16,883.81 = 6,645.63/x
  3. Step 3: Cross multiply
    12,234.63x = 16,883.81 × 6,645.63
  4. Step 4: Simplify right side
    12,234.63x = 112,203,554.25
  5. Step 5: Solve for x
    x = 112,203,554.25/12,234.63
  6. Step 6: Final answer
    x = 9,170.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.