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Finding the Fourth Proportional to 2,746.75, 3,790.71 and 1,568.00

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Solution

The fourth proportional to 2,746.75, 3,790.71 and 1,568.00 is: 2,163.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.75 : 3,790.71 = 1,568.00 : x
  2. Step 2: Convert to fraction form
    2,746.75/3,790.71 = 1,568.00/x
  3. Step 3: Cross multiply
    2,746.75x = 3,790.71 × 1,568.00
  4. Step 4: Simplify right side
    2,746.75x = 5,943,806.49
  5. Step 5: Solve for x
    x = 5,943,806.49/2,746.75
  6. Step 6: Final answer
    x = 2,163.95

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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.