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Finding the Fourth Proportional to 3,847.80, 5,767.03 and 1,764.91

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Solution

The fourth proportional to 3,847.80, 5,767.03 and 1,764.91 is: 2,645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.80 : 5,767.03 = 1,764.91 : x
  2. Step 2: Convert to fraction form
    3,847.80/5,767.03 = 1,764.91/x
  3. Step 3: Cross multiply
    3,847.80x = 5,767.03 × 1,764.91
  4. Step 4: Simplify right side
    3,847.80x = 10,178,280.09
  5. Step 5: Solve for x
    x = 10,178,280.09/3,847.80
  6. Step 6: Final answer
    x = 2,645.22

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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.