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Finding the Fourth Proportional to 2,756.82, 4,137.97 and 1,297

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Solution

The fourth proportional to 2,756.82, 4,137.97 and 1,297 is: 1,946.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.82 : 4,137.97 = 1,297 : x
  2. Step 2: Convert to fraction form
    2,756.82/4,137.97 = 1,297/x
  3. Step 3: Cross multiply
    2,756.82x = 4,137.97 × 1,297
  4. Step 4: Simplify right side
    2,756.82x = 5,366,947.09
  5. Step 5: Solve for x
    x = 5,366,947.09/2,756.82
  6. Step 6: Final answer
    x = 1,946.79

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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.