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Finding the Fourth Proportional to 1,990.94, 2,984.56 and 950.28

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Solution

The fourth proportional to 1,990.94, 2,984.56 and 950.28 is: 1,424.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.94 : 2,984.56 = 950.28 : x
  2. Step 2: Convert to fraction form
    1,990.94/2,984.56 = 950.28/x
  3. Step 3: Cross multiply
    1,990.94x = 2,984.56 × 950.28
  4. Step 4: Simplify right side
    1,990.94x = 2,836,167.68
  5. Step 5: Solve for x
    x = 2,836,167.68/1,990.94
  6. Step 6: Final answer
    x = 1,424.54

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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.