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Finding the Fourth Proportional to 13,420.62, 20,136.62 and 7,179

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Solution

The fourth proportional to 13,420.62, 20,136.62 and 7,179 is: 10,771.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.62 : 20,136.62 = 7,179 : x
  2. Step 2: Convert to fraction form
    13,420.62/20,136.62 = 7,179/x
  3. Step 3: Cross multiply
    13,420.62x = 20,136.62 × 7,179
  4. Step 4: Simplify right side
    13,420.62x = 144,560,812.93
  5. Step 5: Solve for x
    x = 144,560,812.93/13,420.62
  6. Step 6: Final answer
    x = 10,771.54

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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.