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Finding the Fourth Proportional to 1,761.11, 2,431.11 and 1,682.75

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Solution

The fourth proportional to 1,761.11, 2,431.11 and 1,682.75 is: 2,322.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.11 : 2,431.11 = 1,682.75 : x
  2. Step 2: Convert to fraction form
    1,761.11/2,431.11 = 1,682.75/x
  3. Step 3: Cross multiply
    1,761.11x = 2,431.11 × 1,682.75
  4. Step 4: Simplify right side
    1,761.11x = 4,090,938.20
  5. Step 5: Solve for x
    x = 4,090,938.20/1,761.11
  6. Step 6: Final answer
    x = 2,322.94

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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.