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Finding the Fourth Proportional to 2,767.92, 3,819.68 and 1,509.03

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Solution

The fourth proportional to 2,767.92, 3,819.68 and 1,509.03 is: 2,082.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.92 : 3,819.68 = 1,509.03 : x
  2. Step 2: Convert to fraction form
    2,767.92/3,819.68 = 1,509.03/x
  3. Step 3: Cross multiply
    2,767.92x = 3,819.68 × 1,509.03
  4. Step 4: Simplify right side
    2,767.92x = 5,764,011.71
  5. Step 5: Solve for x
    x = 5,764,011.71/2,767.92
  6. Step 6: Final answer
    x = 2,082.43

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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.