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Finding the Fourth Proportional to 7,976.90, 11,967.90 and 2,431.32

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Solution

The fourth proportional to 7,976.90, 11,967.90 and 2,431.32 is: 3,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.90 : 11,967.90 = 2,431.32 : x
  2. Step 2: Convert to fraction form
    7,976.90/11,967.90 = 2,431.32/x
  3. Step 3: Cross multiply
    7,976.90x = 11,967.90 × 2,431.32
  4. Step 4: Simplify right side
    7,976.90x = 29,097,794.63
  5. Step 5: Solve for x
    x = 29,097,794.63/7,976.90
  6. Step 6: Final answer
    x = 3,647.76

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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.