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Finding the Fourth Proportional to 5,239.81, 7,850.46 and 2,769.16

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Solution

The fourth proportional to 5,239.81, 7,850.46 and 2,769.16 is: 4,148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.81 : 7,850.46 = 2,769.16 : x
  2. Step 2: Convert to fraction form
    5,239.81/7,850.46 = 2,769.16/x
  3. Step 3: Cross multiply
    5,239.81x = 7,850.46 × 2,769.16
  4. Step 4: Simplify right side
    5,239.81x = 21,739,179.81
  5. Step 5: Solve for x
    x = 21,739,179.81/5,239.81
  6. Step 6: Final answer
    x = 4,148.85

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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.