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Finding the Fourth Proportional to 2,812.56, 3,882.10 and 1,634

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Solution

The fourth proportional to 2,812.56, 3,882.10 and 1,634 is: 2,255.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.56 : 3,882.10 = 1,634 : x
  2. Step 2: Convert to fraction form
    2,812.56/3,882.10 = 1,634/x
  3. Step 3: Cross multiply
    2,812.56x = 3,882.10 × 1,634
  4. Step 4: Simplify right side
    2,812.56x = 6,343,351.40
  5. Step 5: Solve for x
    x = 6,343,351.40/2,812.56
  6. Step 6: Final answer
    x = 2,255.37

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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.