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Finding the Fourth Proportional to 3,845.74, 5,769.08 and 1,505.44

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Solution

The fourth proportional to 3,845.74, 5,769.08 and 1,505.44 is: 2,258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.74 : 5,769.08 = 1,505.44 : x
  2. Step 2: Convert to fraction form
    3,845.74/5,769.08 = 1,505.44/x
  3. Step 3: Cross multiply
    3,845.74x = 5,769.08 × 1,505.44
  4. Step 4: Simplify right side
    3,845.74x = 8,684,993.14
  5. Step 5: Solve for x
    x = 8,684,993.14/3,845.74
  6. Step 6: Final answer
    x = 2,258.34

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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.