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Finding the Fourth Proportional to 9,172.56, 13,749.54 and 3,623.76

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Solution

The fourth proportional to 9,172.56, 13,749.54 and 3,623.76 is: 5,431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.56 : 13,749.54 = 3,623.76 : x
  2. Step 2: Convert to fraction form
    9,172.56/13,749.54 = 3,623.76/x
  3. Step 3: Cross multiply
    9,172.56x = 13,749.54 × 3,623.76
  4. Step 4: Simplify right side
    9,172.56x = 49,825,033.07
  5. Step 5: Solve for x
    x = 49,825,033.07/9,172.56
  6. Step 6: Final answer
    x = 5,431.97

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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.