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Finding the Fourth Proportional to 3,794.96, 5,687.16 and 2,869.76

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Solution

The fourth proportional to 3,794.96, 5,687.16 and 2,869.76 is: 4,300.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.96 : 5,687.16 = 2,869.76 : x
  2. Step 2: Convert to fraction form
    3,794.96/5,687.16 = 2,869.76/x
  3. Step 3: Cross multiply
    3,794.96x = 5,687.16 × 2,869.76
  4. Step 4: Simplify right side
    3,794.96x = 16,320,784.28
  5. Step 5: Solve for x
    x = 16,320,784.28/3,794.96
  6. Step 6: Final answer
    x = 4,300.65

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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.