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Finding the Fourth Proportional to 1,921.55, 2,879.79 and 765.95

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Solution

The fourth proportional to 1,921.55, 2,879.79 and 765.95 is: 1,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.55 : 2,879.79 = 765.95 : x
  2. Step 2: Convert to fraction form
    1,921.55/2,879.79 = 765.95/x
  3. Step 3: Cross multiply
    1,921.55x = 2,879.79 × 765.95
  4. Step 4: Simplify right side
    1,921.55x = 2,205,760.75
  5. Step 5: Solve for x
    x = 2,205,760.75/1,921.55
  6. Step 6: Final answer
    x = 1,147.91

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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.