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Finding the Fourth Proportional to 2,882.63, 3,977.64 and 1,819.99

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Solution

The fourth proportional to 2,882.63, 3,977.64 and 1,819.99 is: 2,511.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.63 : 3,977.64 = 1,819.99 : x
  2. Step 2: Convert to fraction form
    2,882.63/3,977.64 = 1,819.99/x
  3. Step 3: Cross multiply
    2,882.63x = 3,977.64 × 1,819.99
  4. Step 4: Simplify right side
    2,882.63x = 7,239,288.86
  5. Step 5: Solve for x
    x = 7,239,288.86/2,882.63
  6. Step 6: Final answer
    x = 2,511.35

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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.