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Finding the Fourth Proportional to 14,481.70, 21,759 and 9,219.14

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Solution

The fourth proportional to 14,481.70, 21,759 and 9,219.14 is: 13,851.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,481.70 : 21,759 = 9,219.14 : x
  2. Step 2: Convert to fraction form
    14,481.70/21,759 = 9,219.14/x
  3. Step 3: Cross multiply
    14,481.70x = 21,759 × 9,219.14
  4. Step 4: Simplify right side
    14,481.70x = 200,599,267.26
  5. Step 5: Solve for x
    x = 200,599,267.26/14,481.70
  6. Step 6: Final answer
    x = 13,851.91

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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.