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Finding the Fourth Proportional to 3,164.43, 4,367.27 and 1,905.55

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Solution

The fourth proportional to 3,164.43, 4,367.27 and 1,905.55 is: 2,629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.43 : 4,367.27 = 1,905.55 : x
  2. Step 2: Convert to fraction form
    3,164.43/4,367.27 = 1,905.55/x
  3. Step 3: Cross multiply
    3,164.43x = 4,367.27 × 1,905.55
  4. Step 4: Simplify right side
    3,164.43x = 8,322,051.35
  5. Step 5: Solve for x
    x = 8,322,051.35/3,164.43
  6. Step 6: Final answer
    x = 2,629.87

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1.5x scale

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.