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Finding the Fourth Proportional to 8,321.72, 11,468.18 and 5,959.76

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Solution

The fourth proportional to 8,321.72, 11,468.18 and 5,959.76 is: 8,213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.72 : 11,468.18 = 5,959.76 : x
  2. Step 2: Convert to fraction form
    8,321.72/11,468.18 = 5,959.76/x
  3. Step 3: Cross multiply
    8,321.72x = 11,468.18 × 5,959.76
  4. Step 4: Simplify right side
    8,321.72x = 68,347,558.00
  5. Step 5: Solve for x
    x = 68,347,558.00/8,321.72
  6. Step 6: Final answer
    x = 8,213.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.