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Finding the Fourth Proportional to 13,709.17, 20,571.95 and 12,593.80

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Solution

The fourth proportional to 13,709.17, 20,571.95 and 12,593.80 is: 18,898.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.17 : 20,571.95 = 12,593.80 : x
  2. Step 2: Convert to fraction form
    13,709.17/20,571.95 = 12,593.80/x
  3. Step 3: Cross multiply
    13,709.17x = 20,571.95 × 12,593.80
  4. Step 4: Simplify right side
    13,709.17x = 259,079,169.01
  5. Step 5: Solve for x
    x = 259,079,169.01/13,709.17
  6. Step 6: Final answer
    x = 18,898.23

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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.