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Finding the Fourth Proportional to 11,905.85, 16,425.41 and 7,656.24

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Solution

The fourth proportional to 11,905.85, 16,425.41 and 7,656.24 is: 10,562.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.85 : 16,425.41 = 7,656.24 : x
  2. Step 2: Convert to fraction form
    11,905.85/16,425.41 = 7,656.24/x
  3. Step 3: Cross multiply
    11,905.85x = 16,425.41 × 7,656.24
  4. Step 4: Simplify right side
    11,905.85x = 125,756,842.78
  5. Step 5: Solve for x
    x = 125,756,842.78/11,905.85
  6. Step 6: Final answer
    x = 10,562.61

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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.