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Finding the Fourth Proportional to 1,286.40, 1,927.68 and 961.92

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Solution

The fourth proportional to 1,286.40, 1,927.68 and 961.92 is: 1,441.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.40 : 1,927.68 = 961.92 : x
  2. Step 2: Convert to fraction form
    1,286.40/1,927.68 = 961.92/x
  3. Step 3: Cross multiply
    1,286.40x = 1,927.68 × 961.92
  4. Step 4: Simplify right side
    1,286.40x = 1,854,273.95
  5. Step 5: Solve for x
    x = 1,854,273.95/1,286.40
  6. Step 6: Final answer
    x = 1,441.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.