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Finding the Fourth Proportional to 7,671.24, 11,491.92 and 3,967.92

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Solution

The fourth proportional to 7,671.24, 11,491.92 and 3,967.92 is: 5,944.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.24 : 11,491.92 = 3,967.92 : x
  2. Step 2: Convert to fraction form
    7,671.24/11,491.92 = 3,967.92/x
  3. Step 3: Cross multiply
    7,671.24x = 11,491.92 × 3,967.92
  4. Step 4: Simplify right side
    7,671.24x = 45,599,019.21
  5. Step 5: Solve for x
    x = 45,599,019.21/7,671.24
  6. Step 6: Final answer
    x = 5,944.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.