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Finding the Fourth Proportional to 3,871.68, 5,819.04 and 1,821.12

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Solution

The fourth proportional to 3,871.68, 5,819.04 and 1,821.12 is: 2,737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.68 : 5,819.04 = 1,821.12 : x
  2. Step 2: Convert to fraction form
    3,871.68/5,819.04 = 1,821.12/x
  3. Step 3: Cross multiply
    3,871.68x = 5,819.04 × 1,821.12
  4. Step 4: Simplify right side
    3,871.68x = 10,597,170.12
  5. Step 5: Solve for x
    x = 10,597,170.12/3,871.68
  6. Step 6: Final answer
    x = 2,737.10

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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.