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Finding the Fourth Proportional to 3,190.27, 4,785.46 and 999.02

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Solution

The fourth proportional to 3,190.27, 4,785.46 and 999.02 is: 1,498.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.27 : 4,785.46 = 999.02 : x
  2. Step 2: Convert to fraction form
    3,190.27/4,785.46 = 999.02/x
  3. Step 3: Cross multiply
    3,190.27x = 4,785.46 × 999.02
  4. Step 4: Simplify right side
    3,190.27x = 4,780,770.25
  5. Step 5: Solve for x
    x = 4,780,770.25/3,190.27
  6. Step 6: Final answer
    x = 1,498.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.