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Finding the Fourth Proportional to 2,882.68, 3,977.36 and 1,763.21

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Solution

The fourth proportional to 2,882.68, 3,977.36 and 1,763.21 is: 2,432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.68 : 3,977.36 = 1,763.21 : x
  2. Step 2: Convert to fraction form
    2,882.68/3,977.36 = 1,763.21/x
  3. Step 3: Cross multiply
    2,882.68x = 3,977.36 × 1,763.21
  4. Step 4: Simplify right side
    2,882.68x = 7,012,901.94
  5. Step 5: Solve for x
    x = 7,012,901.94/2,882.68
  6. Step 6: Final answer
    x = 2,432.77

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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.