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Finding the Fourth Proportional to 11,704.32, 16,162.80 and 7,519.92

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Solution

The fourth proportional to 11,704.32, 16,162.80 and 7,519.92 is: 10,384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.32 : 16,162.80 = 7,519.92 : x
  2. Step 2: Convert to fraction form
    11,704.32/16,162.80 = 7,519.92/x
  3. Step 3: Cross multiply
    11,704.32x = 16,162.80 × 7,519.92
  4. Step 4: Simplify right side
    11,704.32x = 121,542,962.98
  5. Step 5: Solve for x
    x = 121,542,962.98/11,704.32
  6. Step 6: Final answer
    x = 10,384.45

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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.