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Finding the Fourth Proportional to 8,638.92, 11,906.07 and 6,499.92

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Solution

The fourth proportional to 8,638.92, 11,906.07 and 6,499.92 is: 8,958.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.92 : 11,906.07 = 6,499.92 : x
  2. Step 2: Convert to fraction form
    8,638.92/11,906.07 = 6,499.92/x
  3. Step 3: Cross multiply
    8,638.92x = 11,906.07 × 6,499.92
  4. Step 4: Simplify right side
    8,638.92x = 77,388,442.98
  5. Step 5: Solve for x
    x = 77,388,442.98/8,638.92
  6. Step 6: Final answer
    x = 8,958.12

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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.