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Finding the Fourth Proportional to 2,133.44, 3,200.42 and 834.74

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Solution

The fourth proportional to 2,133.44, 3,200.42 and 834.74 is: 1,252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.44 : 3,200.42 = 834.74 : x
  2. Step 2: Convert to fraction form
    2,133.44/3,200.42 = 834.74/x
  3. Step 3: Cross multiply
    2,133.44x = 3,200.42 × 834.74
  4. Step 4: Simplify right side
    2,133.44x = 2,671,504.68
  5. Step 5: Solve for x
    x = 2,671,504.68/2,133.44
  6. Step 6: Final answer
    x = 1,252.21

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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.