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Finding the Fourth Proportional to 7,843.62, 11,765.43 and 2,653.14

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Solution

The fourth proportional to 7,843.62, 11,765.43 and 2,653.14 is: 3,979.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.62 : 11,765.43 = 2,653.14 : x
  2. Step 2: Convert to fraction form
    7,843.62/11,765.43 = 2,653.14/x
  3. Step 3: Cross multiply
    7,843.62x = 11,765.43 × 2,653.14
  4. Step 4: Simplify right side
    7,843.62x = 31,215,332.95
  5. Step 5: Solve for x
    x = 31,215,332.95/7,843.62
  6. Step 6: Final answer
    x = 3,979.71

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1.5x scale

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.