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Finding the Fourth Proportional to 8,073.76, 11,146.56 and 6,181.92

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Solution

The fourth proportional to 8,073.76, 11,146.56 and 6,181.92 is: 8,534.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073.76 : 11,146.56 = 6,181.92 : x
  2. Step 2: Convert to fraction form
    8,073.76/11,146.56 = 6,181.92/x
  3. Step 3: Cross multiply
    8,073.76x = 11,146.56 × 6,181.92
  4. Step 4: Simplify right side
    8,073.76x = 68,907,142.20
  5. Step 5: Solve for x
    x = 68,907,142.20/8,073.76
  6. Step 6: Final answer
    x = 8,534.70

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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.