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Finding the Fourth Proportional to 7,091.64, 9,786.72 and 4,107.42

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Solution

The fourth proportional to 7,091.64, 9,786.72 and 4,107.42 is: 5,668.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.64 : 9,786.72 = 4,107.42 : x
  2. Step 2: Convert to fraction form
    7,091.64/9,786.72 = 4,107.42/x
  3. Step 3: Cross multiply
    7,091.64x = 9,786.72 × 4,107.42
  4. Step 4: Simplify right side
    7,091.64x = 40,198,169.46
  5. Step 5: Solve for x
    x = 40,198,169.46/7,091.64
  6. Step 6: Final answer
    x = 5,668.39

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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.