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Finding the Fourth Proportional to 11,418, 15,757.66 and 6,940.92

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Solution

The fourth proportional to 11,418, 15,757.66 and 6,940.92 is: 9,578.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,418 : 15,757.66 = 6,940.92 : x
  2. Step 2: Convert to fraction form
    11,418/15,757.66 = 6,940.92/x
  3. Step 3: Cross multiply
    11,418x = 15,757.66 × 6,940.92
  4. Step 4: Simplify right side
    11,418x = 109,372,657.45
  5. Step 5: Solve for x
    x = 109,372,657.45/11,418
  6. Step 6: Final answer
    x = 9,578.97

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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.