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Finding the Fourth Proportional to 20,560, 28,372.80 and 11,728

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Solution

The fourth proportional to 20,560, 28,372.80 and 11,728 is: 16,184.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,560 : 28,372.80 = 11,728 : x
  2. Step 2: Convert to fraction form
    20,560/28,372.80 = 11,728/x
  3. Step 3: Cross multiply
    20,560x = 28,372.80 × 11,728
  4. Step 4: Simplify right side
    20,560x = 332,756,198.40
  5. Step 5: Solve for x
    x = 332,756,198.40/20,560
  6. Step 6: Final answer
    x = 16,184.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.