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Finding the Fourth Proportional to 2,844.99, 3,920.00 and 1,911.87

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Solution

The fourth proportional to 2,844.99, 3,920.00 and 1,911.87 is: 2,634.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.99 : 3,920.00 = 1,911.87 : x
  2. Step 2: Convert to fraction form
    2,844.99/3,920.00 = 1,911.87/x
  3. Step 3: Cross multiply
    2,844.99x = 3,920.00 × 1,911.87
  4. Step 4: Simplify right side
    2,844.99x = 7,494,520.84
  5. Step 5: Solve for x
    x = 7,494,520.84/2,844.99
  6. Step 6: Final answer
    x = 2,634.29

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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.