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Finding the Fourth Proportional to 13,687.70, 20,531.49 and 3,299.45

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Solution

The fourth proportional to 13,687.70, 20,531.49 and 3,299.45 is: 4,949.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.70 : 20,531.49 = 3,299.45 : x
  2. Step 2: Convert to fraction form
    13,687.70/20,531.49 = 3,299.45/x
  3. Step 3: Cross multiply
    13,687.70x = 20,531.49 × 3,299.45
  4. Step 4: Simplify right side
    13,687.70x = 67,742,624.68
  5. Step 5: Solve for x
    x = 67,742,624.68/13,687.70
  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.