Home / 2,282.25-3,149.49-1,287.54

Finding the Fourth Proportional to 2,282.25, 3,149.49 and 1,287.54

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Solution

The fourth proportional to 2,282.25, 3,149.49 and 1,287.54 is: 1,776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.25 : 3,149.49 = 1,287.54 : x
  2. Step 2: Convert to fraction form
    2,282.25/3,149.49 = 1,287.54/x
  3. Step 3: Cross multiply
    2,282.25x = 3,149.49 × 1,287.54
  4. Step 4: Simplify right side
    2,282.25x = 4,055,094.35
  5. Step 5: Solve for x
    x = 4,055,094.35/2,282.25
  6. Step 6: Final answer
    x = 1,776.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.