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Finding the Fourth Proportional to 2,313, 3,468.78 and 851.76

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Solution

The fourth proportional to 2,313, 3,468.78 and 851.76 is: 1,277.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313 : 3,468.78 = 851.76 : x
  2. Step 2: Convert to fraction form
    2,313/3,468.78 = 851.76/x
  3. Step 3: Cross multiply
    2,313x = 3,468.78 × 851.76
  4. Step 4: Simplify right side
    2,313x = 2,954,568.05
  5. Step 5: Solve for x
    x = 2,954,568.05/2,313
  6. Step 6: Final answer
    x = 1,277.37

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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.