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Finding the Fourth Proportional to 3,086.44, 4,629.61 and 746.42

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Solution

The fourth proportional to 3,086.44, 4,629.61 and 746.42 is: 1,119.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.44 : 4,629.61 = 746.42 : x
  2. Step 2: Convert to fraction form
    3,086.44/4,629.61 = 746.42/x
  3. Step 3: Cross multiply
    3,086.44x = 4,629.61 × 746.42
  4. Step 4: Simplify right side
    3,086.44x = 3,455,633.50
  5. Step 5: Solve for x
    x = 3,455,633.50/3,086.44
  6. Step 6: Final answer
    x = 1,119.62

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Similar ratio
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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.