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Finding the Fourth Proportional to 2,029.68, 3,042.09 and 873

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Solution

The fourth proportional to 2,029.68, 3,042.09 and 873 is: 1,308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.68 : 3,042.09 = 873 : x
  2. Step 2: Convert to fraction form
    2,029.68/3,042.09 = 873/x
  3. Step 3: Cross multiply
    2,029.68x = 3,042.09 × 873
  4. Step 4: Simplify right side
    2,029.68x = 2,655,744.57
  5. Step 5: Solve for x
    x = 2,655,744.57/2,029.68
  6. Step 6: Final answer
    x = 1,308.45

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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.