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Finding the Fourth Proportional to 2,322.75, 3,205.53 and 1,328.34

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Solution

The fourth proportional to 2,322.75, 3,205.53 and 1,328.34 is: 1,833.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.75 : 3,205.53 = 1,328.34 : x
  2. Step 2: Convert to fraction form
    2,322.75/3,205.53 = 1,328.34/x
  3. Step 3: Cross multiply
    2,322.75x = 3,205.53 × 1,328.34
  4. Step 4: Simplify right side
    2,322.75x = 4,258,033.72
  5. Step 5: Solve for x
    x = 4,258,033.72/2,322.75
  6. Step 6: Final answer
    x = 1,833.19

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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.