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Finding the Fourth Proportional to 13,687.84, 20,531.80 and 3,299.60

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Solution

The fourth proportional to 13,687.84, 20,531.80 and 3,299.60 is: 4,949.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.84 : 20,531.80 = 3,299.60 : x
  2. Step 2: Convert to fraction form
    13,687.84/20,531.80 = 3,299.60/x
  3. Step 3: Cross multiply
    13,687.84x = 20,531.80 × 3,299.60
  4. Step 4: Simplify right side
    13,687.84x = 67,746,727.28
  5. Step 5: Solve for x
    x = 67,746,727.28/13,687.84
  6. Step 6: Final answer
    x = 4,949.41

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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.