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Finding the Fourth Proportional to 2,729.97, 3,769.74 and 2,139.48

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Solution

The fourth proportional to 2,729.97, 3,769.74 and 2,139.48 is: 2,954.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.97 : 3,769.74 = 2,139.48 : x
  2. Step 2: Convert to fraction form
    2,729.97/3,769.74 = 2,139.48/x
  3. Step 3: Cross multiply
    2,729.97x = 3,769.74 × 2,139.48
  4. Step 4: Simplify right side
    2,729.97x = 8,065,283.34
  5. Step 5: Solve for x
    x = 8,065,283.34/2,729.97
  6. Step 6: Final answer
    x = 2,954.35

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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.