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Finding the Fourth Proportional to 8,514.14, 12,800.38 and 7,872.62

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Solution

The fourth proportional to 8,514.14, 12,800.38 and 7,872.62 is: 11,835.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.14 : 12,800.38 = 7,872.62 : x
  2. Step 2: Convert to fraction form
    8,514.14/12,800.38 = 7,872.62/x
  3. Step 3: Cross multiply
    8,514.14x = 12,800.38 × 7,872.62
  4. Step 4: Simplify right side
    8,514.14x = 100,772,527.60
  5. Step 5: Solve for x
    x = 100,772,527.60/8,514.14
  6. Step 6: Final answer
    x = 11,835.90

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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.