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Finding the Fourth Proportional to 2,689.26, 4,033.78 and 741.41

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Solution

The fourth proportional to 2,689.26, 4,033.78 and 741.41 is: 1,112.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.26 : 4,033.78 = 741.41 : x
  2. Step 2: Convert to fraction form
    2,689.26/4,033.78 = 741.41/x
  3. Step 3: Cross multiply
    2,689.26x = 4,033.78 × 741.41
  4. Step 4: Simplify right side
    2,689.26x = 2,990,684.83
  5. Step 5: Solve for x
    x = 2,990,684.83/2,689.26
  6. Step 6: Final answer
    x = 1,112.08

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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.