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Finding the Fourth Proportional to 2,263, 3,122.92 and 1,268.36

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Solution

The fourth proportional to 2,263, 3,122.92 and 1,268.36 is: 1,750.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263 : 3,122.92 = 1,268.36 : x
  2. Step 2: Convert to fraction form
    2,263/3,122.92 = 1,268.36/x
  3. Step 3: Cross multiply
    2,263x = 3,122.92 × 1,268.36
  4. Step 4: Simplify right side
    2,263x = 3,960,986.81
  5. Step 5: Solve for x
    x = 3,960,986.81/2,263
  6. Step 6: Final answer
    x = 1,750.33

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1.5x scale

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.