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Finding the Fourth Proportional to 2,142.36, 3,213.86 and 681.64

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Solution

The fourth proportional to 2,142.36, 3,213.86 and 681.64 is: 1,022.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.36 : 3,213.86 = 681.64 : x
  2. Step 2: Convert to fraction form
    2,142.36/3,213.86 = 681.64/x
  3. Step 3: Cross multiply
    2,142.36x = 3,213.86 × 681.64
  4. Step 4: Simplify right side
    2,142.36x = 2,190,695.53
  5. Step 5: Solve for x
    x = 2,190,695.53/2,142.36
  6. Step 6: Final answer
    x = 1,022.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.