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Finding the Fourth Proportional to 11,704.76, 16,152.12 and 6,399.66

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Solution

The fourth proportional to 11,704.76, 16,152.12 and 6,399.66 is: 8,831.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.76 : 16,152.12 = 6,399.66 : x
  2. Step 2: Convert to fraction form
    11,704.76/16,152.12 = 6,399.66/x
  3. Step 3: Cross multiply
    11,704.76x = 16,152.12 × 6,399.66
  4. Step 4: Simplify right side
    11,704.76x = 103,368,076.28
  5. Step 5: Solve for x
    x = 103,368,076.28/11,704.76
  6. Step 6: Final answer
    x = 8,831.29

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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.