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Finding the Fourth Proportional to 3,847.30, 5,762.75 and 2,923.29

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Solution

The fourth proportional to 3,847.30, 5,762.75 and 2,923.29 is: 4,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.30 : 5,762.75 = 2,923.29 : x
  2. Step 2: Convert to fraction form
    3,847.30/5,762.75 = 2,923.29/x
  3. Step 3: Cross multiply
    3,847.30x = 5,762.75 × 2,923.29
  4. Step 4: Simplify right side
    3,847.30x = 16,846,174.83
  5. Step 5: Solve for x
    x = 16,846,174.83/3,847.30
  6. Step 6: Final answer
    x = 4,378.70

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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.