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Finding the Fourth Proportional to 2,192, 3,289.60 and 824

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Solution

The fourth proportional to 2,192, 3,289.60 and 824 is: 1,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192 : 3,289.60 = 824 : x
  2. Step 2: Convert to fraction form
    2,192/3,289.60 = 824/x
  3. Step 3: Cross multiply
    2,192x = 3,289.60 × 824
  4. Step 4: Simplify right side
    2,192x = 2,710,630.40
  5. Step 5: Solve for x
    x = 2,710,630.40/2,192
  6. Step 6: Final answer
    x = 1,236.60

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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.