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Finding the Fourth Proportional to 2,675.10, 4,012.64 and 727.44

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Solution

The fourth proportional to 2,675.10, 4,012.64 and 727.44 is: 1,091.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.10 : 4,012.64 = 727.44 : x
  2. Step 2: Convert to fraction form
    2,675.10/4,012.64 = 727.44/x
  3. Step 3: Cross multiply
    2,675.10x = 4,012.64 × 727.44
  4. Step 4: Simplify right side
    2,675.10x = 2,918,954.84
  5. Step 5: Solve for x
    x = 2,918,954.84/2,675.10
  6. Step 6: Final answer
    x = 1,091.16

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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.