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Finding the Fourth Proportional to 1,324.91, 1,826.96 and 827.42

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Solution

The fourth proportional to 1,324.91, 1,826.96 and 827.42 is: 1,140.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.91 : 1,826.96 = 827.42 : x
  2. Step 2: Convert to fraction form
    1,324.91/1,826.96 = 827.42/x
  3. Step 3: Cross multiply
    1,324.91x = 1,826.96 × 827.42
  4. Step 4: Simplify right side
    1,324.91x = 1,511,649.97
  5. Step 5: Solve for x
    x = 1,511,649.97/1,324.91
  6. Step 6: Final answer
    x = 1,140.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.