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Finding the Fourth Proportional to 12,272.31, 16,933.75 and 7,235.85

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Solution

The fourth proportional to 12,272.31, 16,933.75 and 7,235.85 is: 9,984.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,272.31 : 16,933.75 = 7,235.85 : x
  2. Step 2: Convert to fraction form
    12,272.31/16,933.75 = 7,235.85/x
  3. Step 3: Cross multiply
    12,272.31x = 16,933.75 × 7,235.85
  4. Step 4: Simplify right side
    12,272.31x = 122,530,074.94
  5. Step 5: Solve for x
    x = 122,530,074.94/12,272.31
  6. Step 6: Final answer
    x = 9,984.27

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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.