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Finding the Fourth Proportional to 3,414.00, 4,711 and 1,921.67

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Solution

The fourth proportional to 3,414.00, 4,711 and 1,921.67 is: 2,651.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.00 : 4,711 = 1,921.67 : x
  2. Step 2: Convert to fraction form
    3,414.00/4,711 = 1,921.67/x
  3. Step 3: Cross multiply
    3,414.00x = 4,711 × 1,921.67
  4. Step 4: Simplify right side
    3,414.00x = 9,052,999.15
  5. Step 5: Solve for x
    x = 9,052,999.15/3,414.00
  6. Step 6: Final answer
    x = 2,651.73

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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.