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Finding the Fourth Proportional to 6,800.40, 10,184.18 and 3,869.82

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Solution

The fourth proportional to 6,800.40, 10,184.18 and 3,869.82 is: 5,795.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.40 : 10,184.18 = 3,869.82 : x
  2. Step 2: Convert to fraction form
    6,800.40/10,184.18 = 3,869.82/x
  3. Step 3: Cross multiply
    6,800.40x = 10,184.18 × 3,869.82
  4. Step 4: Simplify right side
    6,800.40x = 39,410,924.10
  5. Step 5: Solve for x
    x = 39,410,924.10/6,800.40
  6. Step 6: Final answer
    x = 5,795.38

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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.