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Finding the Fourth Proportional to 3,871.76, 5,808.12 and 2,833.04

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Solution

The fourth proportional to 3,871.76, 5,808.12 and 2,833.04 is: 4,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.76 : 5,808.12 = 2,833.04 : x
  2. Step 2: Convert to fraction form
    3,871.76/5,808.12 = 2,833.04/x
  3. Step 3: Cross multiply
    3,871.76x = 5,808.12 × 2,833.04
  4. Step 4: Simplify right side
    3,871.76x = 16,454,636.28
  5. Step 5: Solve for x
    x = 16,454,636.28/3,871.76
  6. Step 6: Final answer
    x = 4,249.91

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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.