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Finding the Fourth Proportional to 2,768.42, 3,819.74 and 1,648.64

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Solution

The fourth proportional to 2,768.42, 3,819.74 and 1,648.64 is: 2,274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.42 : 3,819.74 = 1,648.64 : x
  2. Step 2: Convert to fraction form
    2,768.42/3,819.74 = 1,648.64/x
  3. Step 3: Cross multiply
    2,768.42x = 3,819.74 × 1,648.64
  4. Step 4: Simplify right side
    2,768.42x = 6,297,376.15
  5. Step 5: Solve for x
    x = 6,297,376.15/2,768.42
  6. Step 6: Final answer
    x = 2,274.72

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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.