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Finding the Fourth Proportional to 2,029.22, 3,043.31 and 918

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Solution

The fourth proportional to 2,029.22, 3,043.31 and 918 is: 1,376.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.22 : 3,043.31 = 918 : x
  2. Step 2: Convert to fraction form
    2,029.22/3,043.31 = 918/x
  3. Step 3: Cross multiply
    2,029.22x = 3,043.31 × 918
  4. Step 4: Simplify right side
    2,029.22x = 2,793,753.99
  5. Step 5: Solve for x
    x = 2,793,753.99/2,029.22
  6. Step 6: Final answer
    x = 1,376.76

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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.