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Finding the Fourth Proportional to 20,584, 30,876 and 5,001.67

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Solution

The fourth proportional to 20,584, 30,876 and 5,001.67 is: 7,502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584 : 30,876 = 5,001.67 : x
  2. Step 2: Convert to fraction form
    20,584/30,876 = 5,001.67/x
  3. Step 3: Cross multiply
    20,584x = 30,876 × 5,001.67
  4. Step 4: Simplify right side
    20,584x = 154,431,562.92
  5. Step 5: Solve for x
    x = 154,431,562.92/20,584
  6. Step 6: Final answer
    x = 7,502.51

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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.