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Finding the Fourth Proportional to 20,920, 31,388.54 and 11,056.64

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Solution

The fourth proportional to 20,920, 31,388.54 and 11,056.64 is: 16,589.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,920 : 31,388.54 = 11,056.64 : x
  2. Step 2: Convert to fraction form
    20,920/31,388.54 = 11,056.64/x
  3. Step 3: Cross multiply
    20,920x = 31,388.54 × 11,056.64
  4. Step 4: Simplify right side
    20,920x = 347,051,786.91
  5. Step 5: Solve for x
    x = 347,051,786.91/20,920
  6. Step 6: Final answer
    x = 16,589.47

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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.