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Finding the Fourth Proportional to 13,871.71, 20,806.21 and 7,629.67

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Solution

The fourth proportional to 13,871.71, 20,806.21 and 7,629.67 is: 11,443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.71 : 20,806.21 = 7,629.67 : x
  2. Step 2: Convert to fraction form
    13,871.71/20,806.21 = 7,629.67/x
  3. Step 3: Cross multiply
    13,871.71x = 20,806.21 × 7,629.67
  4. Step 4: Simplify right side
    13,871.71x = 158,744,516.25
  5. Step 5: Solve for x
    x = 158,744,516.25/13,871.71
  6. Step 6: Final answer
    x = 11,443.76

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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.