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Finding the Fourth Proportional to 13,485, 20,227.50 and 4,251

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Solution

The fourth proportional to 13,485, 20,227.50 and 4,251 is: 6,376.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,485 : 20,227.50 = 4,251 : x
  2. Step 2: Convert to fraction form
    13,485/20,227.50 = 4,251/x
  3. Step 3: Cross multiply
    13,485x = 20,227.50 × 4,251
  4. Step 4: Simplify right side
    13,485x = 85,987,102.50
  5. Step 5: Solve for x
    x = 85,987,102.50/13,485
  6. Step 6: Final answer
    x = 6,376.50

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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.