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Finding the Fourth Proportional to 1,422.86, 1,963.22 and 825.26

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Solution

The fourth proportional to 1,422.86, 1,963.22 and 825.26 is: 1,138.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.86 : 1,963.22 = 825.26 : x
  2. Step 2: Convert to fraction form
    1,422.86/1,963.22 = 825.26/x
  3. Step 3: Cross multiply
    1,422.86x = 1,963.22 × 825.26
  4. Step 4: Simplify right side
    1,422.86x = 1,620,166.94
  5. Step 5: Solve for x
    x = 1,620,166.94/1,422.86
  6. Step 6: Final answer
    x = 1,138.67

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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.