Home / 2,133.16-3,200.22-834.64

Finding the Fourth Proportional to 2,133.16, 3,200.22 and 834.64

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Solution

The fourth proportional to 2,133.16, 3,200.22 and 834.64 is: 1,252.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.16 : 3,200.22 = 834.64 : x
  2. Step 2: Convert to fraction form
    2,133.16/3,200.22 = 834.64/x
  3. Step 3: Cross multiply
    2,133.16x = 3,200.22 × 834.64
  4. Step 4: Simplify right side
    2,133.16x = 2,671,023.62
  5. Step 5: Solve for x
    x = 2,671,023.62/2,133.16
  6. Step 6: Final answer
    x = 1,252.15

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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.