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Finding the Fourth Proportional to 13,485, 20,227.50 and 5,277

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Solution

The fourth proportional to 13,485, 20,227.50 and 5,277 is: 7,915.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,485 : 20,227.50 = 5,277 : x
  2. Step 2: Convert to fraction form
    13,485/20,227.50 = 5,277/x
  3. Step 3: Cross multiply
    13,485x = 20,227.50 × 5,277
  4. Step 4: Simplify right side
    13,485x = 106,740,517.50
  5. Step 5: Solve for x
    x = 106,740,517.50/13,485
  6. Step 6: Final answer
    x = 7,915.50

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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.