Home / 1,414.24-1,951.62-824.84

Finding the Fourth Proportional to 1,414.24, 1,951.62 and 824.84

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Solution

The fourth proportional to 1,414.24, 1,951.62 and 824.84 is: 1,138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.24 : 1,951.62 = 824.84 : x
  2. Step 2: Convert to fraction form
    1,414.24/1,951.62 = 824.84/x
  3. Step 3: Cross multiply
    1,414.24x = 1,951.62 × 824.84
  4. Step 4: Simplify right side
    1,414.24x = 1,609,774.24
  5. Step 5: Solve for x
    x = 1,609,774.24/1,414.24
  6. Step 6: Final answer
    x = 1,138.26

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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.