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Finding the Fourth Proportional to 2,200, 3,300.48 and 832

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Solution

The fourth proportional to 2,200, 3,300.48 and 832 is: 1,248.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200 : 3,300.48 = 832 : x
  2. Step 2: Convert to fraction form
    2,200/3,300.48 = 832/x
  3. Step 3: Cross multiply
    2,200x = 3,300.48 × 832
  4. Step 4: Simplify right side
    2,200x = 2,745,999.36
  5. Step 5: Solve for x
    x = 2,745,999.36/2,200
  6. Step 6: Final answer
    x = 1,248.18

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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.