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Finding the Fourth Proportional to 20,768, 28,660.20 and 11,336.80

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Solution

The fourth proportional to 20,768, 28,660.20 and 11,336.80 is: 15,644.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,768 : 28,660.20 = 11,336.80 : x
  2. Step 2: Convert to fraction form
    20,768/28,660.20 = 11,336.80/x
  3. Step 3: Cross multiply
    20,768x = 28,660.20 × 11,336.80
  4. Step 4: Simplify right side
    20,768x = 324,914,955.36
  5. Step 5: Solve for x
    x = 324,914,955.36/20,768
  6. Step 6: Final answer
    x = 15,644.98

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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.