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Finding the Fourth Proportional to 48,584, 72,876 and 13,524.57

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Solution

The fourth proportional to 48,584, 72,876 and 13,524.57 is: 20,286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,584 : 72,876 = 13,524.57 : x
  2. Step 2: Convert to fraction form
    48,584/72,876 = 13,524.57/x
  3. Step 3: Cross multiply
    48,584x = 72,876 × 13,524.57
  4. Step 4: Simplify right side
    48,584x = 985,616,563.32
  5. Step 5: Solve for x
    x = 985,616,563.32/48,584
  6. Step 6: Final answer
    x = 20,286.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.