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Finding the Fourth Proportional to 2,761.73, 3,810.76 and 1,642.64

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Solution

The fourth proportional to 2,761.73, 3,810.76 and 1,642.64 is: 2,266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.73 : 3,810.76 = 1,642.64 : x
  2. Step 2: Convert to fraction form
    2,761.73/3,810.76 = 1,642.64/x
  3. Step 3: Cross multiply
    2,761.73x = 3,810.76 × 1,642.64
  4. Step 4: Simplify right side
    2,761.73x = 6,259,712.23
  5. Step 5: Solve for x
    x = 6,259,712.23/2,761.73
  6. Step 6: Final answer
    x = 2,266.60

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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.