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Finding the Fourth Proportional to 3,184.45, 4,775.31 and 993.36

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Solution

The fourth proportional to 3,184.45, 4,775.31 and 993.36 is: 1,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.45 : 4,775.31 = 993.36 : x
  2. Step 2: Convert to fraction form
    3,184.45/4,775.31 = 993.36/x
  3. Step 3: Cross multiply
    3,184.45x = 4,775.31 × 993.36
  4. Step 4: Simplify right side
    3,184.45x = 4,743,601.94
  5. Step 5: Solve for x
    x = 4,743,601.94/3,184.45
  6. Step 6: Final answer
    x = 1,489.61

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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.