Home / 3,138.20-4,705.92-1,577.60

Finding the Fourth Proportional to 3,138.20, 4,705.92 and 1,577.60

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Solution

The fourth proportional to 3,138.20, 4,705.92 and 1,577.60 is: 2,365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.20 : 4,705.92 = 1,577.60 : x
  2. Step 2: Convert to fraction form
    3,138.20/4,705.92 = 1,577.60/x
  3. Step 3: Cross multiply
    3,138.20x = 4,705.92 × 1,577.60
  4. Step 4: Simplify right side
    3,138.20x = 7,424,059.39
  5. Step 5: Solve for x
    x = 7,424,059.39/3,138.20
  6. Step 6: Final answer
    x = 2,365.71

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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.