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Finding the Fourth Proportional to 15,481.44, 21,366 and 9,194.40

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Solution

The fourth proportional to 15,481.44, 21,366 and 9,194.40 is: 12,689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,481.44 : 21,366 = 9,194.40 : x
  2. Step 2: Convert to fraction form
    15,481.44/21,366 = 9,194.40/x
  3. Step 3: Cross multiply
    15,481.44x = 21,366 × 9,194.40
  4. Step 4: Simplify right side
    15,481.44x = 196,447,550.40
  5. Step 5: Solve for x
    x = 196,447,550.40/15,481.44
  6. Step 6: Final answer
    x = 12,689.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.