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Finding the Fourth Proportional to 7,978.38, 11,967.40 and 2,134.99

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Solution

The fourth proportional to 7,978.38, 11,967.40 and 2,134.99 is: 3,202.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.38 : 11,967.40 = 2,134.99 : x
  2. Step 2: Convert to fraction form
    7,978.38/11,967.40 = 2,134.99/x
  3. Step 3: Cross multiply
    7,978.38x = 11,967.40 × 2,134.99
  4. Step 4: Simplify right side
    7,978.38x = 25,550,279.33
  5. Step 5: Solve for x
    x = 25,550,279.33/7,978.38
  6. Step 6: Final answer
    x = 3,202.44

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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.