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Finding the Fourth Proportional to 1,421.15, 1,961.31 and 791.90

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Solution

The fourth proportional to 1,421.15, 1,961.31 and 791.90 is: 1,092.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.15 : 1,961.31 = 791.90 : x
  2. Step 2: Convert to fraction form
    1,421.15/1,961.31 = 791.90/x
  3. Step 3: Cross multiply
    1,421.15x = 1,961.31 × 791.90
  4. Step 4: Simplify right side
    1,421.15x = 1,553,161.39
  5. Step 5: Solve for x
    x = 1,553,161.39/1,421.15
  6. Step 6: Final answer
    x = 1,092.89

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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.