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Finding the Fourth Proportional to 1,797.17, 2,682.74 and 1,661.85

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Solution

The fourth proportional to 1,797.17, 2,682.74 and 1,661.85 is: 2,480.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.17 : 2,682.74 = 1,661.85 : x
  2. Step 2: Convert to fraction form
    1,797.17/2,682.74 = 1,661.85/x
  3. Step 3: Cross multiply
    1,797.17x = 2,682.74 × 1,661.85
  4. Step 4: Simplify right side
    1,797.17x = 4,458,303.16
  5. Step 5: Solve for x
    x = 4,458,303.16/1,797.17
  6. Step 6: Final answer
    x = 2,480.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.