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Finding the Fourth Proportional to 2,738.88, 3,774.24 and 1,909.44

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Solution

The fourth proportional to 2,738.88, 3,774.24 and 1,909.44 is: 2,631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.88 : 3,774.24 = 1,909.44 : x
  2. Step 2: Convert to fraction form
    2,738.88/3,774.24 = 1,909.44/x
  3. Step 3: Cross multiply
    2,738.88x = 3,774.24 × 1,909.44
  4. Step 4: Simplify right side
    2,738.88x = 7,206,684.83
  5. Step 5: Solve for x
    x = 7,206,684.83/2,738.88
  6. Step 6: Final answer
    x = 2,631.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.