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Finding the Fourth Proportional to 2,751.67, 3,797.38 and 1,689.49

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Solution

The fourth proportional to 2,751.67, 3,797.38 and 1,689.49 is: 2,331.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.67 : 3,797.38 = 1,689.49 : x
  2. Step 2: Convert to fraction form
    2,751.67/3,797.38 = 1,689.49/x
  3. Step 3: Cross multiply
    2,751.67x = 3,797.38 × 1,689.49
  4. Step 4: Simplify right side
    2,751.67x = 6,415,635.54
  5. Step 5: Solve for x
    x = 6,415,635.54/2,751.67
  6. Step 6: Final answer
    x = 2,331.54

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1.5x scale

Why These Related Problems?

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