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Finding the Fourth Proportional to 2,805.80, 3,871.42 and 1,921.28

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Solution

The fourth proportional to 2,805.80, 3,871.42 and 1,921.28 is: 2,650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.80 : 3,871.42 = 1,921.28 : x
  2. Step 2: Convert to fraction form
    2,805.80/3,871.42 = 1,921.28/x
  3. Step 3: Cross multiply
    2,805.80x = 3,871.42 × 1,921.28
  4. Step 4: Simplify right side
    2,805.80x = 7,438,057.66
  5. Step 5: Solve for x
    x = 7,438,057.66/2,805.80
  6. Step 6: Final answer
    x = 2,650.96

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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.