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Finding the Fourth Proportional to 2,150.22, 3,225.33 and 689.49

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Solution

The fourth proportional to 2,150.22, 3,225.33 and 689.49 is: 1,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.22 : 3,225.33 = 689.49 : x
  2. Step 2: Convert to fraction form
    2,150.22/3,225.33 = 689.49/x
  3. Step 3: Cross multiply
    2,150.22x = 3,225.33 × 689.49
  4. Step 4: Simplify right side
    2,150.22x = 2,223,832.78
  5. Step 5: Solve for x
    x = 2,223,832.78/2,150.22
  6. Step 6: Final answer
    x = 1,034.24

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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.