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Finding the Fourth Proportional to 6,877.92, 10,310.40 and 3,404.64

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Solution

The fourth proportional to 6,877.92, 10,310.40 and 3,404.64 is: 5,103.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.92 : 10,310.40 = 3,404.64 : x
  2. Step 2: Convert to fraction form
    6,877.92/10,310.40 = 3,404.64/x
  3. Step 3: Cross multiply
    6,877.92x = 10,310.40 × 3,404.64
  4. Step 4: Simplify right side
    6,877.92x = 35,103,200.26
  5. Step 5: Solve for x
    x = 35,103,200.26/6,877.92
  6. Step 6: Final answer
    x = 5,103.75

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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.