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Finding the Fourth Proportional to 11,760.81, 16,229.91 and 6,455.61

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Solution

The fourth proportional to 11,760.81, 16,229.91 and 6,455.61 is: 8,908.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.81 : 16,229.91 = 6,455.61 : x
  2. Step 2: Convert to fraction form
    11,760.81/16,229.91 = 6,455.61/x
  3. Step 3: Cross multiply
    11,760.81x = 16,229.91 × 6,455.61
  4. Step 4: Simplify right side
    11,760.81x = 104,773,969.30
  5. Step 5: Solve for x
    x = 104,773,969.30/11,760.81
  6. Step 6: Final answer
    x = 8,908.74

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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.