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Finding the Fourth Proportional to 3,847.50, 5,771.52 and 1,539

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Solution

The fourth proportional to 3,847.50, 5,771.52 and 1,539 is: 2,308.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.50 : 5,771.52 = 1,539 : x
  2. Step 2: Convert to fraction form
    3,847.50/5,771.52 = 1,539/x
  3. Step 3: Cross multiply
    3,847.50x = 5,771.52 × 1,539
  4. Step 4: Simplify right side
    3,847.50x = 8,882,369.28
  5. Step 5: Solve for x
    x = 8,882,369.28/3,847.50
  6. Step 6: Final answer
    x = 2,308.61

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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.