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Finding the Fourth Proportional to 13,625.48, 20,424 and 9,243.20

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Solution

The fourth proportional to 13,625.48, 20,424 and 9,243.20 is: 13,855.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,625.48 : 20,424 = 9,243.20 : x
  2. Step 2: Convert to fraction form
    13,625.48/20,424 = 9,243.20/x
  3. Step 3: Cross multiply
    13,625.48x = 20,424 × 9,243.20
  4. Step 4: Simplify right side
    13,625.48x = 188,783,116.80
  5. Step 5: Solve for x
    x = 188,783,116.80/13,625.48
  6. Step 6: Final answer
    x = 13,855.15

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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.