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Finding the Fourth Proportional to 2,767.88, 3,819.67 and 1,525.88

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Solution

The fourth proportional to 2,767.88, 3,819.67 and 1,525.88 is: 2,105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.88 : 3,819.67 = 1,525.88 : x
  2. Step 2: Convert to fraction form
    2,767.88/3,819.67 = 1,525.88/x
  3. Step 3: Cross multiply
    2,767.88x = 3,819.67 × 1,525.88
  4. Step 4: Simplify right side
    2,767.88x = 5,828,358.06
  5. Step 5: Solve for x
    x = 5,828,358.06/2,767.88
  6. Step 6: Final answer
    x = 2,105.71

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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.