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Finding the Fourth Proportional to 1,421.42, 1,961.33 and 791.81

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Solution

The fourth proportional to 1,421.42, 1,961.33 and 791.81 is: 1,092.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.42 : 1,961.33 = 791.81 : x
  2. Step 2: Convert to fraction form
    1,421.42/1,961.33 = 791.81/x
  3. Step 3: Cross multiply
    1,421.42x = 1,961.33 × 791.81
  4. Step 4: Simplify right side
    1,421.42x = 1,552,998.75
  5. Step 5: Solve for x
    x = 1,552,998.75/1,421.42
  6. Step 6: Final answer
    x = 1,092.57

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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.