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Finding the Fourth Proportional to 2,188, 3,283.20 and 2,171.68

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Solution

The fourth proportional to 2,188, 3,283.20 and 2,171.68 is: 3,258.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188 : 3,283.20 = 2,171.68 : x
  2. Step 2: Convert to fraction form
    2,188/3,283.20 = 2,171.68/x
  3. Step 3: Cross multiply
    2,188x = 3,283.20 × 2,171.68
  4. Step 4: Simplify right side
    2,188x = 7,130,059.78
  5. Step 5: Solve for x
    x = 7,130,059.78/2,188
  6. Step 6: Final answer
    x = 3,258.71

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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.