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Finding the Fourth Proportional to 3,978.90, 5,961 and 2,002.24

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Solution

The fourth proportional to 3,978.90, 5,961 and 2,002.24 is: 2,999.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.90 : 5,961 = 2,002.24 : x
  2. Step 2: Convert to fraction form
    3,978.90/5,961 = 2,002.24/x
  3. Step 3: Cross multiply
    3,978.90x = 5,961 × 2,002.24
  4. Step 4: Simplify right side
    3,978.90x = 11,935,352.64
  5. Step 5: Solve for x
    x = 11,935,352.64/3,978.90
  6. Step 6: Final answer
    x = 2,999.66

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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.