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Finding the Fourth Proportional to 20,828.67, 28,713.67 and 14,849.96

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Solution

The fourth proportional to 20,828.67, 28,713.67 and 14,849.96 is: 20,471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,828.67 : 28,713.67 = 14,849.96 : x
  2. Step 2: Convert to fraction form
    20,828.67/28,713.67 = 14,849.96/x
  3. Step 3: Cross multiply
    20,828.67x = 28,713.67 × 14,849.96
  4. Step 4: Simplify right side
    20,828.67x = 426,396,850.95
  5. Step 5: Solve for x
    x = 426,396,850.95/20,828.67
  6. Step 6: Final answer
    x = 20,471.63

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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.