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Finding the Fourth Proportional to 2,761.95, 3,809.82 and 1,766.88

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Solution

The fourth proportional to 2,761.95, 3,809.82 and 1,766.88 is: 2,437.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.95 : 3,809.82 = 1,766.88 : x
  2. Step 2: Convert to fraction form
    2,761.95/3,809.82 = 1,766.88/x
  3. Step 3: Cross multiply
    2,761.95x = 3,809.82 × 1,766.88
  4. Step 4: Simplify right side
    2,761.95x = 6,731,494.76
  5. Step 5: Solve for x
    x = 6,731,494.76/2,761.95
  6. Step 6: Final answer
    x = 2,437.23

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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.