Home / 1,421.26-1,961.46-823.97

Finding the Fourth Proportional to 1,421.26, 1,961.46 and 823.97

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Solution

The fourth proportional to 1,421.26, 1,961.46 and 823.97 is: 1,137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.26 : 1,961.46 = 823.97 : x
  2. Step 2: Convert to fraction form
    1,421.26/1,961.46 = 823.97/x
  3. Step 3: Cross multiply
    1,421.26x = 1,961.46 × 823.97
  4. Step 4: Simplify right side
    1,421.26x = 1,616,189.10
  5. Step 5: Solve for x
    x = 1,616,189.10/1,421.26
  6. Step 6: Final answer
    x = 1,137.15

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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.