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Finding the Fourth Proportional to 2,094, 3,138.78 and 706

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Solution

The fourth proportional to 2,094, 3,138.78 and 706 is: 1,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094 : 3,138.78 = 706 : x
  2. Step 2: Convert to fraction form
    2,094/3,138.78 = 706/x
  3. Step 3: Cross multiply
    2,094x = 3,138.78 × 706
  4. Step 4: Simplify right side
    2,094x = 2,215,978.68
  5. Step 5: Solve for x
    x = 2,215,978.68/2,094
  6. Step 6: Final answer
    x = 1,058.25

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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.