Home / 2,134.08-3,201.12-817.52

Finding the Fourth Proportional to 2,134.08, 3,201.12 and 817.52

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Solution

The fourth proportional to 2,134.08, 3,201.12 and 817.52 is: 1,226.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.08 : 3,201.12 = 817.52 : x
  2. Step 2: Convert to fraction form
    2,134.08/3,201.12 = 817.52/x
  3. Step 3: Cross multiply
    2,134.08x = 3,201.12 × 817.52
  4. Step 4: Simplify right side
    2,134.08x = 2,616,979.62
  5. Step 5: Solve for x
    x = 2,616,979.62/2,134.08
  6. Step 6: Final answer
    x = 1,226.28

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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.