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Finding the Fourth Proportional to 8,169.92, 11,273.52 and 4,813.76

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Solution

The fourth proportional to 8,169.92, 11,273.52 and 4,813.76 is: 6,642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,169.92 : 11,273.52 = 4,813.76 : x
  2. Step 2: Convert to fraction form
    8,169.92/11,273.52 = 4,813.76/x
  3. Step 3: Cross multiply
    8,169.92x = 11,273.52 × 4,813.76
  4. Step 4: Simplify right side
    8,169.92x = 54,268,019.64
  5. Step 5: Solve for x
    x = 54,268,019.64/8,169.92
  6. Step 6: Final answer
    x = 6,642.42

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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.