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Finding the Fourth Proportional to 11,219.11, 16,828.93 and 5,369.29

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Solution

The fourth proportional to 11,219.11, 16,828.93 and 5,369.29 is: 8,054.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,219.11 : 16,828.93 = 5,369.29 : x
  2. Step 2: Convert to fraction form
    11,219.11/16,828.93 = 5,369.29/x
  3. Step 3: Cross multiply
    11,219.11x = 16,828.93 × 5,369.29
  4. Step 4: Simplify right side
    11,219.11x = 90,359,405.56
  5. Step 5: Solve for x
    x = 90,359,405.56/11,219.11
  6. Step 6: Final answer
    x = 8,054.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.