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Finding the Fourth Proportional to 2,738.51, 4,107.90 and 1,334.22

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Solution

The fourth proportional to 2,738.51, 4,107.90 and 1,334.22 is: 2,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.51 : 4,107.90 = 1,334.22 : x
  2. Step 2: Convert to fraction form
    2,738.51/4,107.90 = 1,334.22/x
  3. Step 3: Cross multiply
    2,738.51x = 4,107.90 × 1,334.22
  4. Step 4: Simplify right side
    2,738.51x = 5,480,842.34
  5. Step 5: Solve for x
    x = 5,480,842.34/2,738.51
  6. Step 6: Final answer
    x = 2,001.40

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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.