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Finding the Fourth Proportional to 2,761.40, 4,142 and 681.31

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Solution

The fourth proportional to 2,761.40, 4,142 and 681.31 is: 1,021.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.40 : 4,142 = 681.31 : x
  2. Step 2: Convert to fraction form
    2,761.40/4,142 = 681.31/x
  3. Step 3: Cross multiply
    2,761.40x = 4,142 × 681.31
  4. Step 4: Simplify right side
    2,761.40x = 2,821,986.02
  5. Step 5: Solve for x
    x = 2,821,986.02/2,761.40
  6. Step 6: Final answer
    x = 1,021.94

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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.