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Finding the Fourth Proportional to 2,188.81, 3,283.70 and 628.69

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Solution

The fourth proportional to 2,188.81, 3,283.70 and 628.69 is: 943.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.81 : 3,283.70 = 628.69 : x
  2. Step 2: Convert to fraction form
    2,188.81/3,283.70 = 628.69/x
  3. Step 3: Cross multiply
    2,188.81x = 3,283.70 × 628.69
  4. Step 4: Simplify right side
    2,188.81x = 2,064,435.16
  5. Step 5: Solve for x
    x = 2,064,435.16/2,188.81
  6. Step 6: Final answer
    x = 943.18

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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.