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Finding the Fourth Proportional to 2,189.26, 3,283.62 and 650.26

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Solution

The fourth proportional to 2,189.26, 3,283.62 and 650.26 is: 975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.26 : 3,283.62 = 650.26 : x
  2. Step 2: Convert to fraction form
    2,189.26/3,283.62 = 650.26/x
  3. Step 3: Cross multiply
    2,189.26x = 3,283.62 × 650.26
  4. Step 4: Simplify right side
    2,189.26x = 2,135,206.74
  5. Step 5: Solve for x
    x = 2,135,206.74/2,189.26
  6. Step 6: Final answer
    x = 975.31

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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.