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Finding the Fourth Proportional to 2,767.94, 3,819.65 and 1,508.97

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Solution

The fourth proportional to 2,767.94, 3,819.65 and 1,508.97 is: 2,082.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.94 : 3,819.65 = 1,508.97 : x
  2. Step 2: Convert to fraction form
    2,767.94/3,819.65 = 1,508.97/x
  3. Step 3: Cross multiply
    2,767.94x = 3,819.65 × 1,508.97
  4. Step 4: Simplify right side
    2,767.94x = 5,763,729.72
  5. Step 5: Solve for x
    x = 5,763,729.72/2,767.94
  6. Step 6: Final answer
    x = 2,082.32

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1.5x scale

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.