Home / 1,428.23-2,141.19-769.43

Finding the Fourth Proportional to 1,428.23, 2,141.19 and 769.43

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Solution

The fourth proportional to 1,428.23, 2,141.19 and 769.43 is: 1,153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.23 : 2,141.19 = 769.43 : x
  2. Step 2: Convert to fraction form
    1,428.23/2,141.19 = 769.43/x
  3. Step 3: Cross multiply
    1,428.23x = 2,141.19 × 769.43
  4. Step 4: Simplify right side
    1,428.23x = 1,647,485.12
  5. Step 5: Solve for x
    x = 1,647,485.12/1,428.23
  6. Step 6: Final answer
    x = 1,153.52

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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.