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Finding the Fourth Proportional to 2,761, 4,138.75 and 1,297.56

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Solution

The fourth proportional to 2,761, 4,138.75 and 1,297.56 is: 1,945.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761 : 4,138.75 = 1,297.56 : x
  2. Step 2: Convert to fraction form
    2,761/4,138.75 = 1,297.56/x
  3. Step 3: Cross multiply
    2,761x = 4,138.75 × 1,297.56
  4. Step 4: Simplify right side
    2,761x = 5,370,276.45
  5. Step 5: Solve for x
    x = 5,370,276.45/2,761
  6. Step 6: Final answer
    x = 1,945.05

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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.