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Finding the Fourth Proportional to 11,909.92, 16,416.75 and 9,387.94

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Solution

The fourth proportional to 11,909.92, 16,416.75 and 9,387.94 is: 12,940.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.92 : 16,416.75 = 9,387.94 : x
  2. Step 2: Convert to fraction form
    11,909.92/16,416.75 = 9,387.94/x
  3. Step 3: Cross multiply
    11,909.92x = 16,416.75 × 9,387.94
  4. Step 4: Simplify right side
    11,909.92x = 154,119,464.00
  5. Step 5: Solve for x
    x = 154,119,464.00/11,909.92
  6. Step 6: Final answer
    x = 12,940.43

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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.