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Finding the Fourth Proportional to 3,188.14, 4,782.03 and 996.61

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Solution

The fourth proportional to 3,188.14, 4,782.03 and 996.61 is: 1,494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.14 : 4,782.03 = 996.61 : x
  2. Step 2: Convert to fraction form
    3,188.14/4,782.03 = 996.61/x
  3. Step 3: Cross multiply
    3,188.14x = 4,782.03 × 996.61
  4. Step 4: Simplify right side
    3,188.14x = 4,765,818.92
  5. Step 5: Solve for x
    x = 4,765,818.92/3,188.14
  6. Step 6: Final answer
    x = 1,494.86

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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.