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Finding the Fourth Proportional to 5,245.50, 7,865.70 and 2,469.84

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Solution

The fourth proportional to 5,245.50, 7,865.70 and 2,469.84 is: 3,703.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.50 : 7,865.70 = 2,469.84 : x
  2. Step 2: Convert to fraction form
    5,245.50/7,865.70 = 2,469.84/x
  3. Step 3: Cross multiply
    5,245.50x = 7,865.70 × 2,469.84
  4. Step 4: Simplify right side
    5,245.50x = 19,427,020.49
  5. Step 5: Solve for x
    x = 19,427,020.49/5,245.50
  6. Step 6: Final answer
    x = 3,703.56

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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.