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Finding the Fourth Proportional to 3,190.50, 4,786.47 and 999

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Solution

The fourth proportional to 3,190.50, 4,786.47 and 999 is: 1,498.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.50 : 4,786.47 = 999 : x
  2. Step 2: Convert to fraction form
    3,190.50/4,786.47 = 999/x
  3. Step 3: Cross multiply
    3,190.50x = 4,786.47 × 999
  4. Step 4: Simplify right side
    3,190.50x = 4,781,683.53
  5. Step 5: Solve for x
    x = 4,781,683.53/3,190.50
  6. Step 6: Final answer
    x = 1,498.73

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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.