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Finding the Fourth Proportional to 2,794.26, 4,193.82 and 1,821.72

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Solution

The fourth proportional to 2,794.26, 4,193.82 and 1,821.72 is: 2,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.26 : 4,193.82 = 1,821.72 : x
  2. Step 2: Convert to fraction form
    2,794.26/4,193.82 = 1,821.72/x
  3. Step 3: Cross multiply
    2,794.26x = 4,193.82 × 1,821.72
  4. Step 4: Simplify right side
    2,794.26x = 7,639,965.77
  5. Step 5: Solve for x
    x = 7,639,965.77/2,794.26
  6. Step 6: Final answer
    x = 2,734.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.