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Finding the Fourth Proportional to 13,402, 20,125.68 and 8,729.92

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Solution

The fourth proportional to 13,402, 20,125.68 and 8,729.92 is: 13,109.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402 : 20,125.68 = 8,729.92 : x
  2. Step 2: Convert to fraction form
    13,402/20,125.68 = 8,729.92/x
  3. Step 3: Cross multiply
    13,402x = 20,125.68 × 8,729.92
  4. Step 4: Simplify right side
    13,402x = 175,695,576.35
  5. Step 5: Solve for x
    x = 175,695,576.35/13,402
  6. Step 6: Final answer
    x = 13,109.65

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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.