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Finding the Fourth Proportional to 10,815, 16,222.50 and 3,519

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Solution

The fourth proportional to 10,815, 16,222.50 and 3,519 is: 5,278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815 : 16,222.50 = 3,519 : x
  2. Step 2: Convert to fraction form
    10,815/16,222.50 = 3,519/x
  3. Step 3: Cross multiply
    10,815x = 16,222.50 × 3,519
  4. Step 4: Simplify right side
    10,815x = 57,086,977.50
  5. Step 5: Solve for x
    x = 57,086,977.50/10,815
  6. Step 6: Final answer
    x = 5,278.50

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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.