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Finding the Fourth Proportional to 7,978.32, 11,967.64 and 3,474.92

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Solution

The fourth proportional to 7,978.32, 11,967.64 and 3,474.92 is: 5,212.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.32 : 11,967.64 = 3,474.92 : x
  2. Step 2: Convert to fraction form
    7,978.32/11,967.64 = 3,474.92/x
  3. Step 3: Cross multiply
    7,978.32x = 11,967.64 × 3,474.92
  4. Step 4: Simplify right side
    7,978.32x = 41,586,591.59
  5. Step 5: Solve for x
    x = 41,586,591.59/7,978.32
  6. Step 6: Final answer
    x = 5,212.45

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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.