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Finding the Fourth Proportional to 11,920.92, 17,867.43 and 7,967.40

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Solution

The fourth proportional to 11,920.92, 17,867.43 and 7,967.40 is: 11,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.92 : 17,867.43 = 7,967.40 : x
  2. Step 2: Convert to fraction form
    11,920.92/17,867.43 = 7,967.40/x
  3. Step 3: Cross multiply
    11,920.92x = 17,867.43 × 7,967.40
  4. Step 4: Simplify right side
    11,920.92x = 142,356,961.78
  5. Step 5: Solve for x
    x = 142,356,961.78/11,920.92
  6. Step 6: Final answer
    x = 11,941.78

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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.