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Finding the Fourth Proportional to 2,761.01, 4,141.52 and 681.02

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Solution

The fourth proportional to 2,761.01, 4,141.52 and 681.02 is: 1,021.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.01 : 4,141.52 = 681.02 : x
  2. Step 2: Convert to fraction form
    2,761.01/4,141.52 = 681.02/x
  3. Step 3: Cross multiply
    2,761.01x = 4,141.52 × 681.02
  4. Step 4: Simplify right side
    2,761.01x = 2,820,433.84
  5. Step 5: Solve for x
    x = 2,820,433.84/2,761.01
  6. Step 6: Final answer
    x = 1,021.52

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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.