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Finding the Fourth Proportional to 20,769, 28,663.68 and 11,694.65

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Solution

The fourth proportional to 20,769, 28,663.68 and 11,694.65 is: 16,140.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,769 : 28,663.68 = 11,694.65 : x
  2. Step 2: Convert to fraction form
    20,769/28,663.68 = 11,694.65/x
  3. Step 3: Cross multiply
    20,769x = 28,663.68 × 11,694.65
  4. Step 4: Simplify right side
    20,769x = 335,211,561.99
  5. Step 5: Solve for x
    x = 335,211,561.99/20,769
  6. Step 6: Final answer
    x = 16,140.00

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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.