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Finding the Fourth Proportional to 20,876, 28,824 and 13,436.96

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Solution

The fourth proportional to 20,876, 28,824 and 13,436.96 is: 18,552.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,876 : 28,824 = 13,436.96 : x
  2. Step 2: Convert to fraction form
    20,876/28,824 = 13,436.96/x
  3. Step 3: Cross multiply
    20,876x = 28,824 × 13,436.96
  4. Step 4: Simplify right side
    20,876x = 387,306,935.04
  5. Step 5: Solve for x
    x = 387,306,935.04/20,876
  6. Step 6: Final answer
    x = 18,552.74

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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.