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Finding the Fourth Proportional to 2,735.78, 3,776.22 and 1,673.87

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Solution

The fourth proportional to 2,735.78, 3,776.22 and 1,673.87 is: 2,310.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.78 : 3,776.22 = 1,673.87 : x
  2. Step 2: Convert to fraction form
    2,735.78/3,776.22 = 1,673.87/x
  3. Step 3: Cross multiply
    2,735.78x = 3,776.22 × 1,673.87
  4. Step 4: Simplify right side
    2,735.78x = 6,320,882.49
  5. Step 5: Solve for x
    x = 6,320,882.49/2,735.78
  6. Step 6: Final answer
    x = 2,310.45

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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.