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Finding the Fourth Proportional to 2,142.79, 3,213.84 and 681.61

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Solution

The fourth proportional to 2,142.79, 3,213.84 and 681.61 is: 1,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.79 : 3,213.84 = 681.61 : x
  2. Step 2: Convert to fraction form
    2,142.79/3,213.84 = 681.61/x
  3. Step 3: Cross multiply
    2,142.79x = 3,213.84 × 681.61
  4. Step 4: Simplify right side
    2,142.79x = 2,190,585.48
  5. Step 5: Solve for x
    x = 2,190,585.48/2,142.79
  6. Step 6: Final answer
    x = 1,022.31

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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.