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Finding the Fourth Proportional to 2,009.38, 3,012.78 and 968.02

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Solution

The fourth proportional to 2,009.38, 3,012.78 and 968.02 is: 1,451.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.38 : 3,012.78 = 968.02 : x
  2. Step 2: Convert to fraction form
    2,009.38/3,012.78 = 968.02/x
  3. Step 3: Cross multiply
    2,009.38x = 3,012.78 × 968.02
  4. Step 4: Simplify right side
    2,009.38x = 2,916,431.30
  5. Step 5: Solve for x
    x = 2,916,431.30/2,009.38
  6. Step 6: Final answer
    x = 1,451.41

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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.