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Finding the Fourth Proportional to 8,642.82, 11,932.83 and 6,649.86

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Solution

The fourth proportional to 8,642.82, 11,932.83 and 6,649.86 is: 9,181.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.82 : 11,932.83 = 6,649.86 : x
  2. Step 2: Convert to fraction form
    8,642.82/11,932.83 = 6,649.86/x
  3. Step 3: Cross multiply
    8,642.82x = 11,932.83 × 6,649.86
  4. Step 4: Simplify right side
    8,642.82x = 79,351,648.90
  5. Step 5: Solve for x
    x = 79,351,648.90/8,642.82
  6. Step 6: Final answer
    x = 9,181.22

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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.