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Finding the Fourth Proportional to 6,750.78, 10,121.04 and 3,461.64

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Solution

The fourth proportional to 6,750.78, 10,121.04 and 3,461.64 is: 5,189.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750.78 : 10,121.04 = 3,461.64 : x
  2. Step 2: Convert to fraction form
    6,750.78/10,121.04 = 3,461.64/x
  3. Step 3: Cross multiply
    6,750.78x = 10,121.04 × 3,461.64
  4. Step 4: Simplify right side
    6,750.78x = 35,035,396.91
  5. Step 5: Solve for x
    x = 35,035,396.91/6,750.78
  6. Step 6: Final answer
    x = 5,189.83

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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.