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Finding the Fourth Proportional to 6,806.64, 10,200.24 and 3,878.92

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Solution

The fourth proportional to 6,806.64, 10,200.24 and 3,878.92 is: 5,812.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.64 : 10,200.24 = 3,878.92 : x
  2. Step 2: Convert to fraction form
    6,806.64/10,200.24 = 3,878.92/x
  3. Step 3: Cross multiply
    6,806.64x = 10,200.24 × 3,878.92
  4. Step 4: Simplify right side
    6,806.64x = 39,565,914.94
  5. Step 5: Solve for x
    x = 39,565,914.94/6,806.64
  6. Step 6: Final answer
    x = 5,812.84

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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.