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Finding the Fourth Proportional to 2,033.08, 3,050.56 and 922.30

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Solution

The fourth proportional to 2,033.08, 3,050.56 and 922.30 is: 1,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.08 : 3,050.56 = 922.30 : x
  2. Step 2: Convert to fraction form
    2,033.08/3,050.56 = 922.30/x
  3. Step 3: Cross multiply
    2,033.08x = 3,050.56 × 922.30
  4. Step 4: Simplify right side
    2,033.08x = 2,813,531.49
  5. Step 5: Solve for x
    x = 2,813,531.49/2,033.08
  6. Step 6: Final answer
    x = 1,383.88

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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.