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Finding the Fourth Proportional to 1,968.69, 2,704.64 and 1,761.61

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Solution

The fourth proportional to 1,968.69, 2,704.64 and 1,761.61 is: 2,420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.69 : 2,704.64 = 1,761.61 : x
  2. Step 2: Convert to fraction form
    1,968.69/2,704.64 = 1,761.61/x
  3. Step 3: Cross multiply
    1,968.69x = 2,704.64 × 1,761.61
  4. Step 4: Simplify right side
    1,968.69x = 4,764,512.06
  5. Step 5: Solve for x
    x = 4,764,512.06/1,968.69
  6. Step 6: Final answer
    x = 2,420.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.