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Finding the Fourth Proportional to 2,761.67, 3,810.79 and 1,642.97

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Solution

The fourth proportional to 2,761.67, 3,810.79 and 1,642.97 is: 2,267.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.67 : 3,810.79 = 1,642.97 : x
  2. Step 2: Convert to fraction form
    2,761.67/3,810.79 = 1,642.97/x
  3. Step 3: Cross multiply
    2,761.67x = 3,810.79 × 1,642.97
  4. Step 4: Simplify right side
    2,761.67x = 6,261,025.23
  5. Step 5: Solve for x
    x = 6,261,025.23/2,761.67
  6. Step 6: Final answer
    x = 2,267.11

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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.