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Finding the Fourth Proportional to 1,324.52, 1,828.44 and 827.04

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Solution

The fourth proportional to 1,324.52, 1,828.44 and 827.04 is: 1,141.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.52 : 1,828.44 = 827.04 : x
  2. Step 2: Convert to fraction form
    1,324.52/1,828.44 = 827.04/x
  3. Step 3: Cross multiply
    1,324.52x = 1,828.44 × 827.04
  4. Step 4: Simplify right side
    1,324.52x = 1,512,193.02
  5. Step 5: Solve for x
    x = 1,512,193.02/1,324.52
  6. Step 6: Final answer
    x = 1,141.69

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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.