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Finding the Fourth Proportional to 11,759.94, 16,229.10 and 6,455.04

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Solution

The fourth proportional to 11,759.94, 16,229.10 and 6,455.04 is: 8,908.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.94 : 16,229.10 = 6,455.04 : x
  2. Step 2: Convert to fraction form
    11,759.94/16,229.10 = 6,455.04/x
  3. Step 3: Cross multiply
    11,759.94x = 16,229.10 × 6,455.04
  4. Step 4: Simplify right side
    11,759.94x = 104,759,489.66
  5. Step 5: Solve for x
    x = 104,759,489.66/11,759.94
  6. Step 6: Final answer
    x = 8,908.17

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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.