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Finding the Fourth Proportional to 13,797.84, 20,694.40 and 3,934.87

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Solution

The fourth proportional to 13,797.84, 20,694.40 and 3,934.87 is: 5,901.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.84 : 20,694.40 = 3,934.87 : x
  2. Step 2: Convert to fraction form
    13,797.84/20,694.40 = 3,934.87/x
  3. Step 3: Cross multiply
    13,797.84x = 20,694.40 × 3,934.87
  4. Step 4: Simplify right side
    13,797.84x = 81,429,773.73
  5. Step 5: Solve for x
    x = 81,429,773.73/13,797.84
  6. Step 6: Final answer
    x = 5,901.63

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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.