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Finding the Fourth Proportional to 3,819.02, 5,729 and 1,627.43

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Solution

The fourth proportional to 3,819.02, 5,729 and 1,627.43 is: 2,441.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.02 : 5,729 = 1,627.43 : x
  2. Step 2: Convert to fraction form
    3,819.02/5,729 = 1,627.43/x
  3. Step 3: Cross multiply
    3,819.02x = 5,729 × 1,627.43
  4. Step 4: Simplify right side
    3,819.02x = 9,323,546.47
  5. Step 5: Solve for x
    x = 9,323,546.47/3,819.02
  6. Step 6: Final answer
    x = 2,441.35

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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.