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Finding the Fourth Proportional to 9,200.72, 13,804.22 and 3,933.56

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Solution

The fourth proportional to 9,200.72, 13,804.22 and 3,933.56 is: 5,901.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.72 : 13,804.22 = 3,933.56 : x
  2. Step 2: Convert to fraction form
    9,200.72/13,804.22 = 3,933.56/x
  3. Step 3: Cross multiply
    9,200.72x = 13,804.22 × 3,933.56
  4. Step 4: Simplify right side
    9,200.72x = 54,299,668.44
  5. Step 5: Solve for x
    x = 54,299,668.44/9,200.72
  6. Step 6: Final answer
    x = 5,901.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.