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Finding the Fourth Proportional to 1,381.26, 1,906.36 and 821.82

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Solution

The fourth proportional to 1,381.26, 1,906.36 and 821.82 is: 1,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.26 : 1,906.36 = 821.82 : x
  2. Step 2: Convert to fraction form
    1,381.26/1,906.36 = 821.82/x
  3. Step 3: Cross multiply
    1,381.26x = 1,906.36 × 821.82
  4. Step 4: Simplify right side
    1,381.26x = 1,566,684.78
  5. Step 5: Solve for x
    x = 1,566,684.78/1,381.26
  6. Step 6: Final answer
    x = 1,134.24

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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.