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Finding the Fourth Proportional to 20,537, 30,806.98 and 8,225

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Solution

The fourth proportional to 20,537, 30,806.98 and 8,225 is: 12,338.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,537 : 30,806.98 = 8,225 : x
  2. Step 2: Convert to fraction form
    20,537/30,806.98 = 8,225/x
  3. Step 3: Cross multiply
    20,537x = 30,806.98 × 8,225
  4. Step 4: Simplify right side
    20,537x = 253,387,410.50
  5. Step 5: Solve for x
    x = 253,387,410.50/20,537
  6. Step 6: Final answer
    x = 12,338.09

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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.