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Finding the Fourth Proportional to 3,967, 5,474.24 and 2,174.15

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Solution

The fourth proportional to 3,967, 5,474.24 and 2,174.15 is: 3,000.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967 : 5,474.24 = 2,174.15 : x
  2. Step 2: Convert to fraction form
    3,967/5,474.24 = 2,174.15/x
  3. Step 3: Cross multiply
    3,967x = 5,474.24 × 2,174.15
  4. Step 4: Simplify right side
    3,967x = 11,901,818.90
  5. Step 5: Solve for x
    x = 11,901,818.90/3,967
  6. Step 6: Final answer
    x = 3,000.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.