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Finding the Fourth Proportional to 2,882.71, 3,978.10 and 1,623.77

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Solution

The fourth proportional to 2,882.71, 3,978.10 and 1,623.77 is: 2,240.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.71 : 3,978.10 = 1,623.77 : x
  2. Step 2: Convert to fraction form
    2,882.71/3,978.10 = 1,623.77/x
  3. Step 3: Cross multiply
    2,882.71x = 3,978.10 × 1,623.77
  4. Step 4: Simplify right side
    2,882.71x = 6,459,519.44
  5. Step 5: Solve for x
    x = 6,459,519.44/2,882.71
  6. Step 6: Final answer
    x = 2,240.78

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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.