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Finding the Fourth Proportional to 7,671.92, 11,499.17 and 6,745.68

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Solution

The fourth proportional to 7,671.92, 11,499.17 and 6,745.68 is: 10,110.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.92 : 11,499.17 = 6,745.68 : x
  2. Step 2: Convert to fraction form
    7,671.92/11,499.17 = 6,745.68/x
  3. Step 3: Cross multiply
    7,671.92x = 11,499.17 × 6,745.68
  4. Step 4: Simplify right side
    7,671.92x = 77,569,687.36
  5. Step 5: Solve for x
    x = 77,569,687.36/7,671.92
  6. Step 6: Final answer
    x = 10,110.86

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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.