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Finding the Fourth Proportional to 2,188.34, 3,282.67 and 628.33

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Solution

The fourth proportional to 2,188.34, 3,282.67 and 628.33 is: 942.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.34 : 3,282.67 = 628.33 : x
  2. Step 2: Convert to fraction form
    2,188.34/3,282.67 = 628.33/x
  3. Step 3: Cross multiply
    2,188.34x = 3,282.67 × 628.33
  4. Step 4: Simplify right side
    2,188.34x = 2,062,598.77
  5. Step 5: Solve for x
    x = 2,062,598.77/2,188.34
  6. Step 6: Final answer
    x = 942.54

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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.