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Finding the Fourth Proportional to 8,204.16, 11,319.96 and 5,218.92

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Solution

The fourth proportional to 8,204.16, 11,319.96 and 5,218.92 is: 7,200.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.16 : 11,319.96 = 5,218.92 : x
  2. Step 2: Convert to fraction form
    8,204.16/11,319.96 = 5,218.92/x
  3. Step 3: Cross multiply
    8,204.16x = 11,319.96 × 5,218.92
  4. Step 4: Simplify right side
    8,204.16x = 59,077,965.64
  5. Step 5: Solve for x
    x = 59,077,965.64/8,204.16
  6. Step 6: Final answer
    x = 7,200.98

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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.