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Finding the Fourth Proportional to 11,231.14, 15,489.84 and 9,883.84

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Solution

The fourth proportional to 11,231.14, 15,489.84 and 9,883.84 is: 13,631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,231.14 : 15,489.84 = 9,883.84 : x
  2. Step 2: Convert to fraction form
    11,231.14/15,489.84 = 9,883.84/x
  3. Step 3: Cross multiply
    11,231.14x = 15,489.84 × 9,883.84
  4. Step 4: Simplify right side
    11,231.14x = 153,099,100.19
  5. Step 5: Solve for x
    x = 153,099,100.19/11,231.14
  6. Step 6: Final answer
    x = 13,631.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.