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Finding the Fourth Proportional to 3,188.10, 4,782.16 and 996.64

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Solution

The fourth proportional to 3,188.10, 4,782.16 and 996.64 is: 1,494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.10 : 4,782.16 = 996.64 : x
  2. Step 2: Convert to fraction form
    3,188.10/4,782.16 = 996.64/x
  3. Step 3: Cross multiply
    3,188.10x = 4,782.16 × 996.64
  4. Step 4: Simplify right side
    3,188.10x = 4,766,091.94
  5. Step 5: Solve for x
    x = 4,766,091.94/3,188.10
  6. Step 6: Final answer
    x = 1,494.96

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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.