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Finding the Fourth Proportional to 8,663.82, 11,882.52 and 8,306.64

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Solution

The fourth proportional to 8,663.82, 11,882.52 and 8,306.64 is: 11,392.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.82 : 11,882.52 = 8,306.64 : x
  2. Step 2: Convert to fraction form
    8,663.82/11,882.52 = 8,306.64/x
  3. Step 3: Cross multiply
    8,663.82x = 11,882.52 × 8,306.64
  4. Step 4: Simplify right side
    8,663.82x = 98,703,815.93
  5. Step 5: Solve for x
    x = 98,703,815.93/8,663.82
  6. Step 6: Final answer
    x = 11,392.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.