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Finding the Fourth Proportional to 2,001, 2,761 and 1,161.64

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Solution

The fourth proportional to 2,001, 2,761 and 1,161.64 is: 1,602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001 : 2,761 = 1,161.64 : x
  2. Step 2: Convert to fraction form
    2,001/2,761 = 1,161.64/x
  3. Step 3: Cross multiply
    2,001x = 2,761 × 1,161.64
  4. Step 4: Simplify right side
    2,001x = 3,207,274.24
  5. Step 5: Solve for x
    x = 3,207,274.24/2,001
  6. Step 6: Final answer
    x = 1,602.84

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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.