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Finding the Fourth Proportional to 3,794, 5,691 and 1,485.50

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Solution

The fourth proportional to 3,794, 5,691 and 1,485.50 is: 2,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794 : 5,691 = 1,485.50 : x
  2. Step 2: Convert to fraction form
    3,794/5,691 = 1,485.50/x
  3. Step 3: Cross multiply
    3,794x = 5,691 × 1,485.50
  4. Step 4: Simplify right side
    3,794x = 8,453,980.50
  5. Step 5: Solve for x
    x = 8,453,980.50/3,794
  6. Step 6: Final answer
    x = 2,228.25

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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.