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Finding the Fourth Proportional to 2,876.11, 4,313.86 and 927.86

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Solution

The fourth proportional to 2,876.11, 4,313.86 and 927.86 is: 1,391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.11 : 4,313.86 = 927.86 : x
  2. Step 2: Convert to fraction form
    2,876.11/4,313.86 = 927.86/x
  3. Step 3: Cross multiply
    2,876.11x = 4,313.86 × 927.86
  4. Step 4: Simplify right side
    2,876.11x = 4,002,634.25
  5. Step 5: Solve for x
    x = 4,002,634.25/2,876.11
  6. Step 6: Final answer
    x = 1,391.68

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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.