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Finding the Fourth Proportional to 2,761.77, 3,809.48 and 1,767.37

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Solution

The fourth proportional to 2,761.77, 3,809.48 and 1,767.37 is: 2,437.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.77 : 3,809.48 = 1,767.37 : x
  2. Step 2: Convert to fraction form
    2,761.77/3,809.48 = 1,767.37/x
  3. Step 3: Cross multiply
    2,761.77x = 3,809.48 × 1,767.37
  4. Step 4: Simplify right side
    2,761.77x = 6,732,759.39
  5. Step 5: Solve for x
    x = 6,732,759.39/2,761.77
  6. Step 6: Final answer
    x = 2,437.84

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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.