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Finding the Fourth Proportional to 2,940.38, 4,412 and 1,296.72

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Solution

The fourth proportional to 2,940.38, 4,412 and 1,296.72 is: 1,945.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.38 : 4,412 = 1,296.72 : x
  2. Step 2: Convert to fraction form
    2,940.38/4,412 = 1,296.72/x
  3. Step 3: Cross multiply
    2,940.38x = 4,412 × 1,296.72
  4. Step 4: Simplify right side
    2,940.38x = 5,721,128.64
  5. Step 5: Solve for x
    x = 5,721,128.64/2,940.38
  6. Step 6: Final answer
    x = 1,945.71

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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.