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Finding the Fourth Proportional to 2,707.36, 3,734.10 and 1,963.78

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Solution

The fourth proportional to 2,707.36, 3,734.10 and 1,963.78 is: 2,708.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.36 : 3,734.10 = 1,963.78 : x
  2. Step 2: Convert to fraction form
    2,707.36/3,734.10 = 1,963.78/x
  3. Step 3: Cross multiply
    2,707.36x = 3,734.10 × 1,963.78
  4. Step 4: Simplify right side
    2,707.36x = 7,332,941.56
  5. Step 5: Solve for x
    x = 7,332,941.56/2,707.36
  6. Step 6: Final answer
    x = 2,708.52

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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.