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Finding the Fourth Proportional to 21,448, 32,183.52 and 10,504

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Solution

The fourth proportional to 21,448, 32,183.52 and 10,504 is: 15,761.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,448 : 32,183.52 = 10,504 : x
  2. Step 2: Convert to fraction form
    21,448/32,183.52 = 10,504/x
  3. Step 3: Cross multiply
    21,448x = 32,183.52 × 10,504
  4. Step 4: Simplify right side
    21,448x = 338,055,694.08
  5. Step 5: Solve for x
    x = 338,055,694.08/21,448
  6. Step 6: Final answer
    x = 15,761.64

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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.