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Finding the Fourth Proportional to 19,173.44, 28,721.28 and 9,920

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Solution

The fourth proportional to 19,173.44, 28,721.28 and 9,920 is: 14,859.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,173.44 : 28,721.28 = 9,920 : x
  2. Step 2: Convert to fraction form
    19,173.44/28,721.28 = 9,920/x
  3. Step 3: Cross multiply
    19,173.44x = 28,721.28 × 9,920
  4. Step 4: Simplify right side
    19,173.44x = 284,915,097.60
  5. Step 5: Solve for x
    x = 284,915,097.60/19,173.44
  6. Step 6: Final answer
    x = 14,859.88

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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.