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Finding the Fourth Proportional to 13,423.68, 20,144.16 and 7,272

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Solution

The fourth proportional to 13,423.68, 20,144.16 and 7,272 is: 10,912.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.68 : 20,144.16 = 7,272 : x
  2. Step 2: Convert to fraction form
    13,423.68/20,144.16 = 7,272/x
  3. Step 3: Cross multiply
    13,423.68x = 20,144.16 × 7,272
  4. Step 4: Simplify right side
    13,423.68x = 146,488,331.52
  5. Step 5: Solve for x
    x = 146,488,331.52/13,423.68
  6. Step 6: Final answer
    x = 10,912.68

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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.