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Finding the Fourth Proportional to 2,819.69, 3,892.13 and 1,641.74

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Solution

The fourth proportional to 2,819.69, 3,892.13 and 1,641.74 is: 2,266.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.69 : 3,892.13 = 1,641.74 : x
  2. Step 2: Convert to fraction form
    2,819.69/3,892.13 = 1,641.74/x
  3. Step 3: Cross multiply
    2,819.69x = 3,892.13 × 1,641.74
  4. Step 4: Simplify right side
    2,819.69x = 6,389,857.30
  5. Step 5: Solve for x
    x = 6,389,857.30/2,819.69
  6. Step 6: Final answer
    x = 2,266.16

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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.