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Finding the Fourth Proportional to 2,650.76, 3,976.20 and 919.38

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Solution

The fourth proportional to 2,650.76, 3,976.20 and 919.38 is: 1,379.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.76 : 3,976.20 = 919.38 : x
  2. Step 2: Convert to fraction form
    2,650.76/3,976.20 = 919.38/x
  3. Step 3: Cross multiply
    2,650.76x = 3,976.20 × 919.38
  4. Step 4: Simplify right side
    2,650.76x = 3,655,638.76
  5. Step 5: Solve for x
    x = 3,655,638.76/2,650.76
  6. Step 6: Final answer
    x = 1,379.09

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