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Finding the Fourth Proportional to 2,768.55, 4,152.83 and 1,990.95

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Solution

The fourth proportional to 2,768.55, 4,152.83 and 1,990.95 is: 2,986.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.55 : 4,152.83 = 1,990.95 : x
  2. Step 2: Convert to fraction form
    2,768.55/4,152.83 = 1,990.95/x
  3. Step 3: Cross multiply
    2,768.55x = 4,152.83 × 1,990.95
  4. Step 4: Simplify right side
    2,768.55x = 8,268,066.93
  5. Step 5: Solve for x
    x = 8,268,066.93/2,768.55
  6. Step 6: Final answer
    x = 2,986.43

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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.