Home / 1,414.23-1,951.27-824.75

Finding the Fourth Proportional to 1,414.23, 1,951.27 and 824.75

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Solution

The fourth proportional to 1,414.23, 1,951.27 and 824.75 is: 1,137.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.23 : 1,951.27 = 824.75 : x
  2. Step 2: Convert to fraction form
    1,414.23/1,951.27 = 824.75/x
  3. Step 3: Cross multiply
    1,414.23x = 1,951.27 × 824.75
  4. Step 4: Simplify right side
    1,414.23x = 1,609,305.43
  5. Step 5: Solve for x
    x = 1,609,305.43/1,414.23
  6. Step 6: Final answer
    x = 1,137.94

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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.