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Finding the Fourth Proportional to 8,289.92, 11,439.84 and 5,304.64

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Solution

The fourth proportional to 8,289.92, 11,439.84 and 5,304.64 is: 7,320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.92 : 11,439.84 = 5,304.64 : x
  2. Step 2: Convert to fraction form
    8,289.92/11,439.84 = 5,304.64/x
  3. Step 3: Cross multiply
    8,289.92x = 11,439.84 × 5,304.64
  4. Step 4: Simplify right side
    8,289.92x = 60,684,232.86
  5. Step 5: Solve for x
    x = 60,684,232.86/8,289.92
  6. Step 6: Final answer
    x = 7,320.24

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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.