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Finding the Fourth Proportional to 13,433, 20,149.50 and 5,225

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Solution

The fourth proportional to 13,433, 20,149.50 and 5,225 is: 7,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433 : 20,149.50 = 5,225 : x
  2. Step 2: Convert to fraction form
    13,433/20,149.50 = 5,225/x
  3. Step 3: Cross multiply
    13,433x = 20,149.50 × 5,225
  4. Step 4: Simplify right side
    13,433x = 105,281,137.50
  5. Step 5: Solve for x
    x = 105,281,137.50/13,433
  6. Step 6: Final answer
    x = 7,837.50

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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.