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Finding the Fourth Proportional to 3,185.60, 4,778.56 and 994.32

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Solution

The fourth proportional to 3,185.60, 4,778.56 and 994.32 is: 1,491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.60 : 4,778.56 = 994.32 : x
  2. Step 2: Convert to fraction form
    3,185.60/4,778.56 = 994.32/x
  3. Step 3: Cross multiply
    3,185.60x = 4,778.56 × 994.32
  4. Step 4: Simplify right side
    3,185.60x = 4,751,417.78
  5. Step 5: Solve for x
    x = 4,751,417.78/3,185.60
  6. Step 6: Final answer
    x = 1,491.53

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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.