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Finding the Fourth Proportional to 3,185.68, 4,778.63 and 994.35

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Solution

The fourth proportional to 3,185.68, 4,778.63 and 994.35 is: 1,491.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.68 : 4,778.63 = 994.35 : x
  2. Step 2: Convert to fraction form
    3,185.68/4,778.63 = 994.35/x
  3. Step 3: Cross multiply
    3,185.68x = 4,778.63 × 994.35
  4. Step 4: Simplify right side
    3,185.68x = 4,751,630.74
  5. Step 5: Solve for x
    x = 4,751,630.74/3,185.68
  6. Step 6: Final answer
    x = 1,491.56

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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.