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Finding the Fourth Proportional to 8,216.16, 11,336.48 and 5,230.96

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Solution

The fourth proportional to 8,216.16, 11,336.48 and 5,230.96 is: 7,217.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.16 : 11,336.48 = 5,230.96 : x
  2. Step 2: Convert to fraction form
    8,216.16/11,336.48 = 5,230.96/x
  3. Step 3: Cross multiply
    8,216.16x = 11,336.48 × 5,230.96
  4. Step 4: Simplify right side
    8,216.16x = 59,300,673.42
  5. Step 5: Solve for x
    x = 59,300,673.42/8,216.16
  6. Step 6: Final answer
    x = 7,217.57

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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.