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Finding the Fourth Proportional to 20,769, 28,661.49 and 11,337.81

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Solution

The fourth proportional to 20,769, 28,661.49 and 11,337.81 is: 15,646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,769 : 28,661.49 = 11,337.81 : x
  2. Step 2: Convert to fraction form
    20,769/28,661.49 = 11,337.81/x
  3. Step 3: Cross multiply
    20,769x = 28,661.49 × 11,337.81
  4. Step 4: Simplify right side
    20,769x = 324,958,527.94
  5. Step 5: Solve for x
    x = 324,958,527.94/20,769
  6. Step 6: Final answer
    x = 15,646.33

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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.