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Finding the Fourth Proportional to 20,769, 28,660.96 and 11,816.48

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Solution

The fourth proportional to 20,769, 28,660.96 and 11,816.48 is: 16,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,769 : 28,660.96 = 11,816.48 : x
  2. Step 2: Convert to fraction form
    20,769/28,660.96 = 11,816.48/x
  3. Step 3: Cross multiply
    20,769x = 28,660.96 × 11,816.48
  4. Step 4: Simplify right side
    20,769x = 338,671,660.62
  5. Step 5: Solve for x
    x = 338,671,660.62/20,769
  6. Step 6: Final answer
    x = 16,306.59

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1.5x scale

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.