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Finding the Fourth Proportional to 8,549.92, 11,800.08 and 5,192.80

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Solution

The fourth proportional to 8,549.92, 11,800.08 and 5,192.80 is: 7,166.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.92 : 11,800.08 = 5,192.80 : x
  2. Step 2: Convert to fraction form
    8,549.92/11,800.08 = 5,192.80/x
  3. Step 3: Cross multiply
    8,549.92x = 11,800.08 × 5,192.80
  4. Step 4: Simplify right side
    8,549.92x = 61,275,455.42
  5. Step 5: Solve for x
    x = 61,275,455.42/8,549.92
  6. Step 6: Final answer
    x = 7,166.79

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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.