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Finding the Fourth Proportional to 11,418.39, 15,757.97 and 6,941.40

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Solution

The fourth proportional to 11,418.39, 15,757.97 and 6,941.40 is: 9,579.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,418.39 : 15,757.97 = 6,941.40 : x
  2. Step 2: Convert to fraction form
    11,418.39/15,757.97 = 6,941.40/x
  3. Step 3: Cross multiply
    11,418.39x = 15,757.97 × 6,941.40
  4. Step 4: Simplify right side
    11,418.39x = 109,382,338.25
  5. Step 5: Solve for x
    x = 109,382,338.25/11,418.39
  6. Step 6: Final answer
    x = 9,579.49

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1.5x scale

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.