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Finding the Fourth Proportional to 2,650.78, 3,976.58 and 919

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Solution

The fourth proportional to 2,650.78, 3,976.58 and 919 is: 1,378.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.78 : 3,976.58 = 919 : x
  2. Step 2: Convert to fraction form
    2,650.78/3,976.58 = 919/x
  3. Step 3: Cross multiply
    2,650.78x = 3,976.58 × 919
  4. Step 4: Simplify right side
    2,650.78x = 3,654,477.02
  5. Step 5: Solve for x
    x = 3,654,477.02/2,650.78
  6. Step 6: Final answer
    x = 1,378.64

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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.