Home / 2,287.37-3,431.28-826.64

Finding the Fourth Proportional to 2,287.37, 3,431.28 and 826.64

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Solution

The fourth proportional to 2,287.37, 3,431.28 and 826.64 is: 1,240.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.37 : 3,431.28 = 826.64 : x
  2. Step 2: Convert to fraction form
    2,287.37/3,431.28 = 826.64/x
  3. Step 3: Cross multiply
    2,287.37x = 3,431.28 × 826.64
  4. Step 4: Simplify right side
    2,287.37x = 2,836,416.14
  5. Step 5: Solve for x
    x = 2,836,416.14/2,287.37
  6. Step 6: Final answer
    x = 1,240.04

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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.