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Finding the Fourth Proportional to 10,211.87, 15,318.87 and 2,816.33

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Solution

The fourth proportional to 10,211.87, 15,318.87 and 2,816.33 is: 4,224.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,211.87 : 15,318.87 = 2,816.33 : x
  2. Step 2: Convert to fraction form
    10,211.87/15,318.87 = 2,816.33/x
  3. Step 3: Cross multiply
    10,211.87x = 15,318.87 × 2,816.33
  4. Step 4: Simplify right side
    10,211.87x = 43,143,042.01
  5. Step 5: Solve for x
    x = 43,143,042.01/10,211.87
  6. Step 6: Final answer
    x = 4,224.79

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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.