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Finding the Fourth Proportional to 3,729.76, 5,594.82 and 2,639

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Solution

The fourth proportional to 3,729.76, 5,594.82 and 2,639 is: 3,958.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.76 : 5,594.82 = 2,639 : x
  2. Step 2: Convert to fraction form
    3,729.76/5,594.82 = 2,639/x
  3. Step 3: Cross multiply
    3,729.76x = 5,594.82 × 2,639
  4. Step 4: Simplify right side
    3,729.76x = 14,764,729.98
  5. Step 5: Solve for x
    x = 14,764,729.98/3,729.76
  6. Step 6: Final answer
    x = 3,958.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.