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Finding the Fourth Proportional to 3,819.80, 5,728.79 and 2,154.64

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Solution

The fourth proportional to 3,819.80, 5,728.79 and 2,154.64 is: 3,231.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.80 : 5,728.79 = 2,154.64 : x
  2. Step 2: Convert to fraction form
    3,819.80/5,728.79 = 2,154.64/x
  3. Step 3: Cross multiply
    3,819.80x = 5,728.79 × 2,154.64
  4. Step 4: Simplify right side
    3,819.80x = 12,343,480.09
  5. Step 5: Solve for x
    x = 12,343,480.09/3,819.80
  6. Step 6: Final answer
    x = 3,231.45

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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.