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Finding the Fourth Proportional to 11,324.36, 16,978.34 and 5,705.49

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Solution

The fourth proportional to 11,324.36, 16,978.34 and 5,705.49 is: 8,554.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324.36 : 16,978.34 = 5,705.49 : x
  2. Step 2: Convert to fraction form
    11,324.36/16,978.34 = 5,705.49/x
  3. Step 3: Cross multiply
    11,324.36x = 16,978.34 × 5,705.49
  4. Step 4: Simplify right side
    11,324.36x = 96,869,720.56
  5. Step 5: Solve for x
    x = 96,869,720.56/11,324.36
  6. Step 6: Final answer
    x = 8,554.10

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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.