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Finding the Fourth Proportional to 4,912.28, 7,368.92 and 1,990.84

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Solution

The fourth proportional to 4,912.28, 7,368.92 and 1,990.84 is: 2,986.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.28 : 7,368.92 = 1,990.84 : x
  2. Step 2: Convert to fraction form
    4,912.28/7,368.92 = 1,990.84/x
  3. Step 3: Cross multiply
    4,912.28x = 7,368.92 × 1,990.84
  4. Step 4: Simplify right side
    4,912.28x = 14,670,340.69
  5. Step 5: Solve for x
    x = 14,670,340.69/4,912.28
  6. Step 6: Final answer
    x = 2,986.46

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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.