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Finding the Fourth Proportional to 12,235.50, 16,883.56 and 7,198.61

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Solution

The fourth proportional to 12,235.50, 16,883.56 and 7,198.61 is: 9,933.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.50 : 16,883.56 = 7,198.61 : x
  2. Step 2: Convert to fraction form
    12,235.50/16,883.56 = 7,198.61/x
  3. Step 3: Cross multiply
    12,235.50x = 16,883.56 × 7,198.61
  4. Step 4: Simplify right side
    12,235.50x = 121,538,188.06
  5. Step 5: Solve for x
    x = 121,538,188.06/12,235.50
  6. Step 6: Final answer
    x = 9,933.24

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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.