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Finding the Fourth Proportional to 2,821.64, 3,894.90 and 2,121.80

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Solution

The fourth proportional to 2,821.64, 3,894.90 and 2,121.80 is: 2,928.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.64 : 3,894.90 = 2,121.80 : x
  2. Step 2: Convert to fraction form
    2,821.64/3,894.90 = 2,121.80/x
  3. Step 3: Cross multiply
    2,821.64x = 3,894.90 × 2,121.80
  4. Step 4: Simplify right side
    2,821.64x = 8,264,198.82
  5. Step 5: Solve for x
    x = 8,264,198.82/2,821.64
  6. Step 6: Final answer
    x = 2,928.86

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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.