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Finding the Fourth Proportional to 3,840.76, 5,761.50 and 2,311.48

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Solution

The fourth proportional to 3,840.76, 5,761.50 and 2,311.48 is: 3,467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.76 : 5,761.50 = 2,311.48 : x
  2. Step 2: Convert to fraction form
    3,840.76/5,761.50 = 2,311.48/x
  3. Step 3: Cross multiply
    3,840.76x = 5,761.50 × 2,311.48
  4. Step 4: Simplify right side
    3,840.76x = 13,317,592.02
  5. Step 5: Solve for x
    x = 13,317,592.02/3,840.76
  6. Step 6: Final answer
    x = 3,467.44

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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.