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Finding the Fourth Proportional to 2,188.36, 3,282.70 and 628.30

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Solution

The fourth proportional to 2,188.36, 3,282.70 and 628.30 is: 942.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.36 : 3,282.70 = 628.30 : x
  2. Step 2: Convert to fraction form
    2,188.36/3,282.70 = 628.30/x
  3. Step 3: Cross multiply
    2,188.36x = 3,282.70 × 628.30
  4. Step 4: Simplify right side
    2,188.36x = 2,062,520.41
  5. Step 5: Solve for x
    x = 2,062,520.41/2,188.36
  6. Step 6: Final answer
    x = 942.50

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1.5x scale

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.