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Finding the Fourth Proportional to 2,767.92, 3,819.72 and 1,772.88

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Solution

The fourth proportional to 2,767.92, 3,819.72 and 1,772.88 is: 2,446.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.92 : 3,819.72 = 1,772.88 : x
  2. Step 2: Convert to fraction form
    2,767.92/3,819.72 = 1,772.88/x
  3. Step 3: Cross multiply
    2,767.92x = 3,819.72 × 1,772.88
  4. Step 4: Simplify right side
    2,767.92x = 6,771,905.19
  5. Step 5: Solve for x
    x = 6,771,905.19/2,767.92
  6. Step 6: Final answer
    x = 2,446.57

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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.