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Finding the Fourth Proportional to 13,687.68, 20,531.54 and 3,299.44

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Solution

The fourth proportional to 13,687.68, 20,531.54 and 3,299.44 is: 4,949.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.68 : 20,531.54 = 3,299.44 : x
  2. Step 2: Convert to fraction form
    13,687.68/20,531.54 = 3,299.44/x
  3. Step 3: Cross multiply
    13,687.68x = 20,531.54 × 3,299.44
  4. Step 4: Simplify right side
    13,687.68x = 67,742,584.34
  5. Step 5: Solve for x
    x = 67,742,584.34/13,687.68
  6. Step 6: Final answer
    x = 4,949.16

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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.