Home / 2,844-4,264.52-1,282.66

Finding the Fourth Proportional to 2,844, 4,264.52 and 1,282.66

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Solution

The fourth proportional to 2,844, 4,264.52 and 1,282.66 is: 1,923.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844 : 4,264.52 = 1,282.66 : x
  2. Step 2: Convert to fraction form
    2,844/4,264.52 = 1,282.66/x
  3. Step 3: Cross multiply
    2,844x = 4,264.52 × 1,282.66
  4. Step 4: Simplify right side
    2,844x = 5,469,912.15
  5. Step 5: Solve for x
    x = 5,469,912.15/2,844
  6. Step 6: Final answer
    x = 1,923.32

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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.