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Finding the Fourth Proportional to 11,704.57, 16,152.32 and 6,399.47

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Solution

The fourth proportional to 11,704.57, 16,152.32 and 6,399.47 is: 8,831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.57 : 16,152.32 = 6,399.47 : x
  2. Step 2: Convert to fraction form
    11,704.57/16,152.32 = 6,399.47/x
  3. Step 3: Cross multiply
    11,704.57x = 16,152.32 × 6,399.47
  4. Step 4: Simplify right side
    11,704.57x = 103,366,343.65
  5. Step 5: Solve for x
    x = 103,366,343.65/11,704.57
  6. Step 6: Final answer
    x = 8,831.28

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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.