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Finding the Fourth Proportional to 11,914.32, 16,441.62 and 6,609.08

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Solution

The fourth proportional to 11,914.32, 16,441.62 and 6,609.08 is: 9,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.32 : 16,441.62 = 6,609.08 : x
  2. Step 2: Convert to fraction form
    11,914.32/16,441.62 = 6,609.08/x
  3. Step 3: Cross multiply
    11,914.32x = 16,441.62 × 6,609.08
  4. Step 4: Simplify right side
    11,914.32x = 108,663,981.91
  5. Step 5: Solve for x
    x = 108,663,981.91/11,914.32
  6. Step 6: Final answer
    x = 9,120.45

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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.