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Finding the Fourth Proportional to 2,724, 3,759.48 and 1,977.72

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Solution

The fourth proportional to 2,724, 3,759.48 and 1,977.72 is: 2,729.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724 : 3,759.48 = 1,977.72 : x
  2. Step 2: Convert to fraction form
    2,724/3,759.48 = 1,977.72/x
  3. Step 3: Cross multiply
    2,724x = 3,759.48 × 1,977.72
  4. Step 4: Simplify right side
    2,724x = 7,435,198.79
  5. Step 5: Solve for x
    x = 7,435,198.79/2,724
  6. Step 6: Final answer
    x = 2,729.51

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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.