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Finding the Fourth Proportional to 10,813, 16,219.50 and 2,605

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Solution

The fourth proportional to 10,813, 16,219.50 and 2,605 is: 3,907.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813 : 16,219.50 = 2,605 : x
  2. Step 2: Convert to fraction form
    10,813/16,219.50 = 2,605/x
  3. Step 3: Cross multiply
    10,813x = 16,219.50 × 2,605
  4. Step 4: Simplify right side
    10,813x = 42,251,797.50
  5. Step 5: Solve for x
    x = 42,251,797.50/10,813
  6. Step 6: Final answer
    x = 3,907.50

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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.