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Finding the Fourth Proportional to 13,459, 20,191.74 and 4,225

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Solution

The fourth proportional to 13,459, 20,191.74 and 4,225 is: 6,338.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,459 : 20,191.74 = 4,225 : x
  2. Step 2: Convert to fraction form
    13,459/20,191.74 = 4,225/x
  3. Step 3: Cross multiply
    13,459x = 20,191.74 × 4,225
  4. Step 4: Simplify right side
    13,459x = 85,310,101.50
  5. Step 5: Solve for x
    x = 85,310,101.50/13,459
  6. Step 6: Final answer
    x = 6,338.52

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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.