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Finding the Fourth Proportional to 2,751.21, 3,797.15 and 1,689.57

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Solution

The fourth proportional to 2,751.21, 3,797.15 and 1,689.57 is: 2,331.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.21 : 3,797.15 = 1,689.57 : x
  2. Step 2: Convert to fraction form
    2,751.21/3,797.15 = 1,689.57/x
  3. Step 3: Cross multiply
    2,751.21x = 3,797.15 × 1,689.57
  4. Step 4: Simplify right side
    2,751.21x = 6,415,542.28
  5. Step 5: Solve for x
    x = 6,415,542.28/2,751.21
  6. Step 6: Final answer
    x = 2,331.90

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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.