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Finding the Fourth Proportional to 3,819.56, 5,728.62 and 1,354.28

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Solution

The fourth proportional to 3,819.56, 5,728.62 and 1,354.28 is: 2,031.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.56 : 5,728.62 = 1,354.28 : x
  2. Step 2: Convert to fraction form
    3,819.56/5,728.62 = 1,354.28/x
  3. Step 3: Cross multiply
    3,819.56x = 5,728.62 × 1,354.28
  4. Step 4: Simplify right side
    3,819.56x = 7,758,155.49
  5. Step 5: Solve for x
    x = 7,758,155.49/3,819.56
  6. Step 6: Final answer
    x = 2,031.16

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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.