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Finding the Fourth Proportional to 13,838.69, 20,758.10 and 3,450.44

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Solution

The fourth proportional to 13,838.69, 20,758.10 and 3,450.44 is: 5,175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.69 : 20,758.10 = 3,450.44 : x
  2. Step 2: Convert to fraction form
    13,838.69/20,758.10 = 3,450.44/x
  3. Step 3: Cross multiply
    13,838.69x = 20,758.10 × 3,450.44
  4. Step 4: Simplify right side
    13,838.69x = 71,624,457.52
  5. Step 5: Solve for x
    x = 71,624,457.52/13,838.69
  6. Step 6: Final answer
    x = 5,175.67

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1.5x scale

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.