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Finding the Fourth Proportional to 1,422.11, 1,961.54 and 861.62

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Solution

The fourth proportional to 1,422.11, 1,961.54 and 861.62 is: 1,188.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.11 : 1,961.54 = 861.62 : x
  2. Step 2: Convert to fraction form
    1,422.11/1,961.54 = 861.62/x
  3. Step 3: Cross multiply
    1,422.11x = 1,961.54 × 861.62
  4. Step 4: Simplify right side
    1,422.11x = 1,690,087.98
  5. Step 5: Solve for x
    x = 1,690,087.98/1,422.11
  6. Step 6: Final answer
    x = 1,188.44

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1.5x scale

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.