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Finding the Fourth Proportional to 2,142.54, 3,213.86 and 681.70

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Solution

The fourth proportional to 2,142.54, 3,213.86 and 681.70 is: 1,022.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.54 : 3,213.86 = 681.70 : x
  2. Step 2: Convert to fraction form
    2,142.54/3,213.86 = 681.70/x
  3. Step 3: Cross multiply
    2,142.54x = 3,213.86 × 681.70
  4. Step 4: Simplify right side
    2,142.54x = 2,190,888.36
  5. Step 5: Solve for x
    x = 2,190,888.36/2,142.54
  6. Step 6: Final answer
    x = 1,022.57

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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.