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Finding the Fourth Proportional to 3,651.96, 5,471.46 and 1,921.80

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Solution

The fourth proportional to 3,651.96, 5,471.46 and 1,921.80 is: 2,879.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.96 : 5,471.46 = 1,921.80 : x
  2. Step 2: Convert to fraction form
    3,651.96/5,471.46 = 1,921.80/x
  3. Step 3: Cross multiply
    3,651.96x = 5,471.46 × 1,921.80
  4. Step 4: Simplify right side
    3,651.96x = 10,515,051.83
  5. Step 5: Solve for x
    x = 10,515,051.83/3,651.96
  6. Step 6: Final answer
    x = 2,879.29

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1.5x scale

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.