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Finding the Fourth Proportional to 2,153.92, 3,231.08 and 768

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Solution

The fourth proportional to 2,153.92, 3,231.08 and 768 is: 1,152.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.92 : 3,231.08 = 768 : x
  2. Step 2: Convert to fraction form
    2,153.92/3,231.08 = 768/x
  3. Step 3: Cross multiply
    2,153.92x = 3,231.08 × 768
  4. Step 4: Simplify right side
    2,153.92x = 2,481,469.44
  5. Step 5: Solve for x
    x = 2,481,469.44/2,153.92
  6. Step 6: Final answer
    x = 1,152.07

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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.