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Finding the Fourth Proportional to 1,960.81, 2,697.10 and 1,622.43

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Solution

The fourth proportional to 1,960.81, 2,697.10 and 1,622.43 is: 2,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.81 : 2,697.10 = 1,622.43 : x
  2. Step 2: Convert to fraction form
    1,960.81/2,697.10 = 1,622.43/x
  3. Step 3: Cross multiply
    1,960.81x = 2,697.10 × 1,622.43
  4. Step 4: Simplify right side
    1,960.81x = 4,375,851.90
  5. Step 5: Solve for x
    x = 4,375,851.90/1,960.81
  6. Step 6: Final answer
    x = 2,231.66

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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.