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Finding the Fourth Proportional to 2,094.08, 3,138.56 and 938.56

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Solution

The fourth proportional to 2,094.08, 3,138.56 and 938.56 is: 1,406.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.08 : 3,138.56 = 938.56 : x
  2. Step 2: Convert to fraction form
    2,094.08/3,138.56 = 938.56/x
  3. Step 3: Cross multiply
    2,094.08x = 3,138.56 × 938.56
  4. Step 4: Simplify right side
    2,094.08x = 2,945,726.87
  5. Step 5: Solve for x
    x = 2,945,726.87/2,094.08
  6. Step 6: Final answer
    x = 1,406.69

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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.