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Finding the Fourth Proportional to 2,192.36, 3,288.18 and 653

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Solution

The fourth proportional to 2,192.36, 3,288.18 and 653 is: 979.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.36 : 3,288.18 = 653 : x
  2. Step 2: Convert to fraction form
    2,192.36/3,288.18 = 653/x
  3. Step 3: Cross multiply
    2,192.36x = 3,288.18 × 653
  4. Step 4: Simplify right side
    2,192.36x = 2,147,181.54
  5. Step 5: Solve for x
    x = 2,147,181.54/2,192.36
  6. Step 6: Final answer
    x = 979.39

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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.