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Finding the Fourth Proportional to 5,978, 8,251.80 and 4,120.40

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Solution

The fourth proportional to 5,978, 8,251.80 and 4,120.40 is: 5,687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978 : 8,251.80 = 4,120.40 : x
  2. Step 2: Convert to fraction form
    5,978/8,251.80 = 4,120.40/x
  3. Step 3: Cross multiply
    5,978x = 8,251.80 × 4,120.40
  4. Step 4: Simplify right side
    5,978x = 34,000,716.72
  5. Step 5: Solve for x
    x = 34,000,716.72/5,978
  6. Step 6: Final answer
    x = 5,687.64

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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.