Home / 1,828.92-2,743.14-1,078.86

Finding the Fourth Proportional to 1,828.92, 2,743.14 and 1,078.86

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Solution

The fourth proportional to 1,828.92, 2,743.14 and 1,078.86 is: 1,618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.92 : 2,743.14 = 1,078.86 : x
  2. Step 2: Convert to fraction form
    1,828.92/2,743.14 = 1,078.86/x
  3. Step 3: Cross multiply
    1,828.92x = 2,743.14 × 1,078.86
  4. Step 4: Simplify right side
    1,828.92x = 2,959,468.07
  5. Step 5: Solve for x
    x = 2,959,468.07/1,828.92
  6. Step 6: Final answer
    x = 1,618.15

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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.