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Finding the Fourth Proportional to 9,894.92, 13,654.97 and 5,418.64

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Solution

The fourth proportional to 9,894.92, 13,654.97 and 5,418.64 is: 7,477.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.92 : 13,654.97 = 5,418.64 : x
  2. Step 2: Convert to fraction form
    9,894.92/13,654.97 = 5,418.64/x
  3. Step 3: Cross multiply
    9,894.92x = 13,654.97 × 5,418.64
  4. Step 4: Simplify right side
    9,894.92x = 73,991,366.64
  5. Step 5: Solve for x
    x = 73,991,366.64/9,894.92
  6. Step 6: Final answer
    x = 7,477.71

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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.