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Finding the Fourth Proportional to 8,544.36, 12,816.54 and 5,339.64

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Solution

The fourth proportional to 8,544.36, 12,816.54 and 5,339.64 is: 8,009.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544.36 : 12,816.54 = 5,339.64 : x
  2. Step 2: Convert to fraction form
    8,544.36/12,816.54 = 5,339.64/x
  3. Step 3: Cross multiply
    8,544.36x = 12,816.54 × 5,339.64
  4. Step 4: Simplify right side
    8,544.36x = 68,435,709.65
  5. Step 5: Solve for x
    x = 68,435,709.65/8,544.36
  6. Step 6: Final answer
    x = 8,009.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.