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Finding the Fourth Proportional to 2,262.87, 3,122.37 and 1,268.01

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Solution

The fourth proportional to 2,262.87, 3,122.37 and 1,268.01 is: 1,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.87 : 3,122.37 = 1,268.01 : x
  2. Step 2: Convert to fraction form
    2,262.87/3,122.37 = 1,268.01/x
  3. Step 3: Cross multiply
    2,262.87x = 3,122.37 × 1,268.01
  4. Step 4: Simplify right side
    2,262.87x = 3,959,196.38
  5. Step 5: Solve for x
    x = 3,959,196.38/2,262.87
  6. Step 6: Final answer
    x = 1,749.63

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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.