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Finding the Fourth Proportional to 2,313.28, 3,469 and 852.09

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Solution

The fourth proportional to 2,313.28, 3,469 and 852.09 is: 1,277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.28 : 3,469 = 852.09 : x
  2. Step 2: Convert to fraction form
    2,313.28/3,469 = 852.09/x
  3. Step 3: Cross multiply
    2,313.28x = 3,469 × 852.09
  4. Step 4: Simplify right side
    2,313.28x = 2,955,900.21
  5. Step 5: Solve for x
    x = 2,955,900.21/2,313.28
  6. Step 6: Final answer
    x = 1,277.80

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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.