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Finding the Fourth Proportional to 2,761.44, 3,808.89 and 1,766.28

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Solution

The fourth proportional to 2,761.44, 3,808.89 and 1,766.28 is: 2,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.44 : 3,808.89 = 1,766.28 : x
  2. Step 2: Convert to fraction form
    2,761.44/3,808.89 = 1,766.28/x
  3. Step 3: Cross multiply
    2,761.44x = 3,808.89 × 1,766.28
  4. Step 4: Simplify right side
    2,761.44x = 6,727,566.23
  5. Step 5: Solve for x
    x = 6,727,566.23/2,761.44
  6. Step 6: Final answer
    x = 2,436.25

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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.