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Finding the Fourth Proportional to 2,819.46, 3,891.65 and 1,640.78

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Solution

The fourth proportional to 2,819.46, 3,891.65 and 1,640.78 is: 2,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.46 : 3,891.65 = 1,640.78 : x
  2. Step 2: Convert to fraction form
    2,819.46/3,891.65 = 1,640.78/x
  3. Step 3: Cross multiply
    2,819.46x = 3,891.65 × 1,640.78
  4. Step 4: Simplify right side
    2,819.46x = 6,385,341.49
  5. Step 5: Solve for x
    x = 6,385,341.49/2,819.46
  6. Step 6: Final answer
    x = 2,264.74

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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.