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Finding the Fourth Proportional to 2,661.90, 3,991.98 and 930.12

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Solution

The fourth proportional to 2,661.90, 3,991.98 and 930.12 is: 1,394.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.90 : 3,991.98 = 930.12 : x
  2. Step 2: Convert to fraction form
    2,661.90/3,991.98 = 930.12/x
  3. Step 3: Cross multiply
    2,661.90x = 3,991.98 × 930.12
  4. Step 4: Simplify right side
    2,661.90x = 3,713,020.44
  5. Step 5: Solve for x
    x = 3,713,020.44/2,661.90
  6. Step 6: Final answer
    x = 1,394.88

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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.