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Finding the Fourth Proportional to 9,438.53, 13,022.84 and 5,661.97

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Solution

The fourth proportional to 9,438.53, 13,022.84 and 5,661.97 is: 7,812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.53 : 13,022.84 = 5,661.97 : x
  2. Step 2: Convert to fraction form
    9,438.53/13,022.84 = 5,661.97/x
  3. Step 3: Cross multiply
    9,438.53x = 13,022.84 × 5,661.97
  4. Step 4: Simplify right side
    9,438.53x = 73,734,910.99
  5. Step 5: Solve for x
    x = 73,734,910.99/9,438.53
  6. Step 6: Final answer
    x = 7,812.12

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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.